Shiwam's Classes
Shiwam's Classes
  • 447
  • 38 720
If y = mx + 4 is a tangent to both the parabolas, y^2 = 4x and x^2 = 2by, then b is | JEE Main 2020
If y = mx + 4 is a tangent to both the parabolas, y^2 = 4x and x^2 = 2by, then b is equal to : (1) 128 (2) -64 (3) -128 (4) -32.
Discover how to solve this interesting JEE Main 2020 problem involving a common tangent to two parabolas. The equation of the tangent y=mx+4 touches both parabolas y^2 = 4x and x^2 = 2by. Find the value of b from the given options.
Problem Statement:
Tangent: y=mx+4
Parabolas: y^2=4x and x^2 = 2by
Find b.
Options:
(1) 128, (2) −64, (3) −128, (4) −32
Topics Covered:
Tangency conditions for parabolas
Coordinate geometry
JEE Main Previous Year Questions
Watch this video for a step-by-step explanation of tangents to parabolas and how to solve such combined geometry problems. Don’t forget to like, share, and subscribe for more JEE-level solutions! 🚀✨
Check out my website for free courses - www.shiwamsclass.com
มุมมอง: 8

วีดีโอ

The shortest distance between the line y - x = 1 and the curve x = y^2 is | JEE Mains 2011 Maths
มุมมอง 2016 ชั่วโมงที่ผ่านมา
The shortest distance between the line y - x = 1 and the curve x = y^2 is A. √(3)/4 B. 3 √(2)/8 C. 8/3 √(2) D. 4/√(3) Master this JEE Main 2011 question about finding the shortest distance between a line and a parabola! Learn how to use calculus to minimize the distance function. We'll cover key concepts of distance formula, differentiation, and optimization with clear step-by-step solution. Pe...
if Δ = |(x - 2, 2x - 3, 3x - 4) (2x - 3, 3x - 4, 4x - 5) (3x - 5, 5x - 8, 10x - 17) | JEE MAIN 2018
มุมมอง 162 ชั่วโมงที่ผ่านมา
if Δ = |(x - 2, 2x - 3, 3x - 4) (2x - 3, 3x - 4, 4x - 5) (3x - 5, 5x - 8, 10x - 17) Ax^3 Bx^2 Cx D, then B C is equal to : (1) -1 (2) 1 (3) -3 (4) 9. Master this challenging determinant problem from JEE MAIN 2018/2020 where we find the sum of coefficients B C in a cubic expression. We'll solve this step by step: Understanding the 3x3 determinant structure Expanding the determinant using cofacto...
Mastering Determinants in Seconds | JEE Quick Substitution Tricks | Save Time in Exams
มุมมอง 192 ชั่วโมงที่ผ่านมา
Transform your approach to determinant problems with lightning-fast substitution techniques! Learn how to solve complex determinant questions in seconds without expanding them fully. In this video, you'll discover: The power of strategic value substitution How to identify perfect substitution values Time-saving tricks for 3×3 determinants Common traps to avoid Multiple solved examples from JEE ...
Let A = {z ∈ C: | (z + 1)/(z − 1) | less than 1|} and B = {z ∈ C: arg( (z − 1) /(z + 1) ) = 2π/3}
มุมมอง 124 ชั่วโมงที่ผ่านมา
Let A = {z ∈ C: | (z 1)/(z − 1) | less than 1|} and B = {z ∈ C: arg( (z − 1) /(z 1) ) = 2π/3}. Then A ∩ B is: (A) a portion of a circle centred at (0, -1/√3) that lies in the second and third quadrants only (B) a portion of a circle centred at (0, -1/√3) that lies in the second quadrant only (C) an empty set (D) a portion of a circle of radius 2/√3 that lies in the third quadrant only. Master t...
The distance of the origin from the centroid of the triangle whose two sides have the equations
มุมมอง 144 ชั่วโมงที่ผ่านมา
The distance of the origin from the centroid of the triangle whose two sides have the equations x - 2y 1 = 0 and 2x - y - 1 = 0 and whose orthocenter is (7/3 , 7/3) is: (A) √2 (B) 2 (C) 2√2 (D) 4R Master this JEE Main 2022 problem involving triangle geometry! Given two sides of a triangle with equations x - 2y 1 = 0 and 2x - y - 1 = 0 and and its orthocenter as (7/3 , 7/3), calculate the distan...
If the center and radius of the circle ∣(z − 2)/( z − 3) ∣ = 2 are respectively (α, β) and γ | JEE
มุมมอง 137 ชั่วโมงที่ผ่านมา
If the center and radius of the circle ∣(z − 2)/( z − 3) ∣ = 2 are respectively (α, β) and γ, then 3(α β γ) is equal to (1) 11 (2) 9 (3) 10 (4) 12 Master this JEE Main 2023 question about complex number circles! Learn how to convert absolute value complex equations into circle equations in real coordinates. We'll show you systematic approach to find center and radius with complete step-by-step ...
The tangents to the curve y = (x - 2)^2 - 1 at its points of intersection with the | JEE Mains 2019
มุมมอง 117 ชั่วโมงที่ผ่านมา
The tangents to the curve y = (x - 2)^2 - 1 at its points of intersection with the line x - y = 3, intersect at the point (1) (5/2, -1) (2) (-5/2, -1) (3) (-5/2, 1) (4) (-5/2, 1) Solve this fascinating JEE Main 2019 problem involving tangents to a parabola. The tangents to the curve y = (x - 2)^2 - 1 at its points of intersection with the line x - y = 3, intersect at a specific point. Can you d...
Let p and q be two positive numbers such that p+q=2 and p^4+q^4=272. Then p and q | JEE MAINS 2021
มุมมอง 89 ชั่วโมงที่ผ่านมา
Let p and q be two positive numbers such that p q=2 and p^4 q^4=272. Then p and q are roots of the equation : a) x^2 - 2x 8 = 0 b) x^2 - 2x 16 = 0 c) x^2 - 2x 2 = 0 d) x^2 - 2x 136 = 0 Crack this JEE Main 2021 question using Vieta's formulas and sum manipulation! Learn how to handle equations involving sum of fourth powers and find the quadratic equation having given numbers as roots. Perfect f...
If the line ax + y = c, touches both the curves x^2 + y^2 = 1 and y^2 = 4√2x | JEE Main Exam 2019
มุมมอง 289 ชั่วโมงที่ผ่านมา
If the line ax y = c, touches both the curves x^2 y^2 = 1 and y^2 = 4√2x , then |c| is equal to : (1) 1/√2 (2) 2 (3) √2 (4) 1/2 Explore this classic JEE Main 2019 geometry question: A line ax y = c touches both the circle x^2 y^2 = 1 and parabola y^2 = 4√2x. Determine the absolute value of ∣c∣ from the given options. Problem Statement: Line: ax y = c Circle: x^2 y^2 = 1 Parabola y^2 = 4√2x Find...
The sum of the cubes of all the roots of the equation x^4 - 3x^3 - 2x^2 + 3x + 1 = 0 is? | JEE MAIN
มุมมอง 4612 ชั่วโมงที่ผ่านมา
The sum of the cubes of all the roots of the equation x^4 - 3x^3 - 2x^2 3x 1 = 0 is? [JEE Mains 2022.] Master this elegant JEE Mains 2022 problem on finding the sum of cubes of roots! Learn how to tackle high-degree equations without actually solving for the roots. Perfect for students preparing for JEE and other competitive exams. This video covers: Understanding sum of powers of roots Time-sa...
Let α and β be the roots of equation x^2 -6x - 2 = 0 If an = α^n -β^n, for n ≥ 1 | Newton's Theorem
มุมมอง 4112 ชั่วโมงที่ผ่านมา
Let α and β be the roots of equation x^2 - 6x - 2 = 0. If an = α^n - β^n, for n ≥ 1, then the value of (a10 - 2a8)/2a9 is equal to (a) 6 (b) -6 (c) 3 (d) -3. Master this JEE Mains 2015 sequence problem involving roots of a quadratic equation! Learn two powerful approaches - Newton's theorem and the recursive method - to tackle questions involving expressions like α^n - β^n. Key topics covered: ...
Let A and B be two sets containing 2 elements and 4 elements respectively | JEE Mains 2015
มุมมอง 1414 ชั่วโมงที่ผ่านมา
Let A and B be two sets containing 2 elements and 4 elements respectively. The number of subsets of A × B having 3 or more elements is (1) 220 (2) 219 (3) 211 (4) 256. Crack this JEE Main 2015 question about subsets of Cartesian products! Learn how to count subsets with size constraints using combination principles. We'll show you systematic approach to handle set theory problems involving Cart...
If α,β∈C are the distinct roots of the equation x^2−x+1=0, then α^101+β^107 is equal to | JEE Mains
มุมมอง 22914 ชั่วโมงที่ผ่านมา
If α,β∈C are the distinct roots of the equation x^2−x 1=0, then α^101 β^107 is equal to - A. 2 B. -1 C. 0 D. 1 (JEE MAINS 2018) Master this JEE Main 2018 question about powers of complex roots! Learn how to use properties of cube roots of unity to simplify complex calculations. We'll show you powerful techniques to handle high powers of complex numbers without tedious calculations, with complet...
If z is a complex number such that |z| ≥ 2, then the minimum value of |z + 1/2| |JEE MAINS 2014
มุมมอง 7716 ชั่วโมงที่ผ่านมา
If z is a complex number such that |z| ≥ 2, then the minimum value of |z 1/2| (a) is equal to 5/2 (b) lies in the interval (0,2) (c) is strictly greater than 5/2 (d) is strictly greater than 3/2 but less than 5/2. Master this JEE Main 2014 question combining complex numbers with geometry! Learn how to visualize complex number problems geometrically to find minimum values. We'll show you powerfu...
Let α and β be two roots of the equation x^2 + 2x + 2 = 0, then α^15 + β^15 is equal to | JEE
มุมมอง 2416 ชั่วโมงที่ผ่านมา
Let α and β be two roots of the equation x^2 2x 2 = 0, then α^15 β^15 is equal to | JEE
In a triangle A B C suppose y = x is the equation of the bisector of the angle B | JEE Mains 2024
มุมมอง 4019 ชั่วโมงที่ผ่านมา
In a triangle A B C suppose y = x is the equation of the bisector of the angle B | JEE Mains 2024
Let the centroid of an equilateral triangle ABC be at the origin . Let one of the | JEE Mains 2021
มุมมอง 4121 ชั่วโมงที่ผ่านมา
Let the centroid of an equilateral triangle ABC be at the origin . Let one of the | JEE Mains 2021
Equation of a common tangent to the circle, x^2+y^2-6x = 0 and the parabola, y^2= 4x |JEE Mains 2019
มุมมอง 51วันที่ผ่านมา
Equation of a common tangent to the circle, x^2 y^2-6x = 0 and the parabola, y^2= 4x |JEE Mains 2019
Let P be the point on the parabola, y^2 = 8x, which is at a minimum distance from | JEE Main 2016
มุมมอง 32วันที่ผ่านมา
Let P be the point on the parabola, y^2 = 8x, which is at a minimum distance from | JEE Main 2016
Two sets A and B are as under: A = {(a, b) ∈ R × R : |a - 5| less than 1} | JEE Mains 2018
มุมมอง 20วันที่ผ่านมา
Two sets A and B are as under: A = {(a, b) ∈ R × R : |a - 5| less than 1} | JEE Mains 2018
If one end of a focal chord of the parabola, y^2 = 16x is at (1, 4), then the length of this focal
มุมมอง 12วันที่ผ่านมา
If one end of a focal chord of the parabola, y^2 = 16x is at (1, 4), then the length of this focal
Let the common tangents to the curves 4x^2 + y^2 = 9 and y^2 = 4x intersect at the point Q
มุมมอง 4614 วันที่ผ่านมา
Let the common tangents to the curves 4x^2 y^2 = 9 and y^2 = 4x intersect at the point Q
If a tangent to the circle x^2 + y^2 = 1 intersects the coordinate axes at distinct | JEE Main 2019
มุมมอง 3114 วันที่ผ่านมา
If a tangent to the circle x^2 y^2 = 1 intersects the coordinate axes at distinct | JEE Main 2019
Let the normal at the point P on the parabola y^2 = 6x pass through the point (5,-8)| JEE Main 2022
มุมมอง 7414 วันที่ผ่านมา
Let the normal at the point P on the parabola y^2 = 6x pass through the point (5,-8)| JEE Main 2022
All the possible points in the set S={α+i/α−i:α∈R,i=√−1} lies on | JEE Mains 2019 | Circle
มุมมอง 2514 วันที่ผ่านมา
All the possible points in the set S={α i/α−i:α∈R,i=√−1} lies on | JEE Mains 2019 | Circle
The locus of the midpoint of the line segment joining the focus to a moving point on the parabola
มุมมอง 2514 วันที่ผ่านมา
The locus of the midpoint of the line segment joining the focus to a moving point on the parabola
If the line y = mx + 7√3 is normal to the hyperbola x^2/24 - y^2/18 = 1, then a value of m is | JEE
มุมมอง 4814 วันที่ผ่านมา
If the line y = mx 7√3 is normal to the hyperbola x^2/24 - y^2/18 = 1, then a value of m is | JEE
Three circles of radii a, b, c touch each other externally. If they have x-axis as .| JEE Main 2019
มุมมอง 2614 วันที่ผ่านมา
Three circles of radii a, b, c touch each other externally. If they have x-axis as .| JEE Main 2019
Let C be a circle passing through the points A(2, -1) and B(3, 4). The line segment AB| JEE Main PYQ
มุมมอง 6921 วันที่ผ่านมา
Let C be a circle passing through the points A(2, -1) and B(3, 4). The line segment AB| JEE Main PYQ

ความคิดเห็น

  • @raghvendrasingh1289
    @raghvendrasingh1289 2 วันที่ผ่านมา

    👍 a^3+b^3+c^3+d^3 = (a+b+c+d)^3 - 3(a+b+c+d)(ab+ac+ad+bc+bd+cd) + 3(abc+bcd+cda+dab) = 3^3 - 3(3)( - 2)+3( - 3) = 27+18 - 9 = 36

  • @SubhamGhosh-s5v
    @SubhamGhosh-s5v 4 วันที่ผ่านมา

    Excellent Sir. 💯 Thank you so much. 😊

  • @SubhamGhosh-s5v
    @SubhamGhosh-s5v 4 วันที่ผ่านมา

    Excellent Sir 💯. Thank you so much😊

  • @SubhamGhosh-s5v
    @SubhamGhosh-s5v 4 วันที่ผ่านมา

    Nice explanation Sir. 😊

  • @SubhamGhosh-s5v
    @SubhamGhosh-s5v 5 วันที่ผ่านมา

    Excellent Sir 💯. Thank you very much. 😊

    • @shiwamsclasses
      @shiwamsclasses 4 วันที่ผ่านมา

      I'm glad you found the explanation helpful!

  • @SubhamGhosh-s5v
    @SubhamGhosh-s5v 5 วันที่ผ่านมา

    Nice explanation Sir 😊

    • @shiwamsclasses
      @shiwamsclasses 5 วันที่ผ่านมา

      Thanks a lot for your feedback!

  • @SubhamGhosh-s5v
    @SubhamGhosh-s5v 5 วันที่ผ่านมา

    Excellent, Sir 💯. Thank you very much😊.

    • @shiwamsclasses
      @shiwamsclasses 5 วันที่ผ่านมา

      Thank you for your appreciation!

  • @SubhamGhosh-s5v
    @SubhamGhosh-s5v 5 วันที่ผ่านมา

    Wow ❤ Excellent calculation. 💯💯

    • @shiwamsclasses
      @shiwamsclasses 5 วันที่ผ่านมา

      I'm glad you found the calculation clear!

    • @SubhamGhosh-s5v
      @SubhamGhosh-s5v 5 วันที่ผ่านมา

      @shiwamsclasses Thank you Sir. 😊

  • @raghvendrasingh1289
    @raghvendrasingh1289 9 วันที่ผ่านมา

    👍 consider diagram at 4:00 hypotenuse of right angled isosceles triangle with vertices (0,0) , (3,0) & (0,3) is 3√2 hence r = 3√2/2 finally R+r = 9√2/2 because in an equilateral triangle R = 2r

  • @raghvendrasingh1289
    @raghvendrasingh1289 10 วันที่ผ่านมา

    or eliminating y (1+m^2)x^2- 4 x+1/m^2 = 0 for equal roots b^2 = 4 ac 4 = 1+1/m^2 m = 1/√3 , - 1/√3

  • @raghvendrasingh1289
    @raghvendrasingh1289 13 วันที่ผ่านมา

    👍 slope of normal at P(x,y) = - y/3 hence (y+8)/(x-5) = - y/3 3 y+24 = 5 y - y^3/6 y^3 - 12 y+144 = 0 y = - 6 x = 6 slope of tangent = 3/y = -1/2 let Q is (-3/2 , k) (k+6)/(-3/2 - 6) = -1/2 k+6 = 15/4 k = -9/4

    • @shiwamsclasses
      @shiwamsclasses 13 วันที่ผ่านมา

      Nice approach to the problem. Well done.

  • @sanjuktaseth2421
    @sanjuktaseth2421 22 วันที่ผ่านมา

    5:21 well i just solved seeing only a thumbnail 😂

  • @chakravarthiponmudi1418
    @chakravarthiponmudi1418 23 วันที่ผ่านมา

    please explain step by step here all not a genius

  • @Deepak-j3h
    @Deepak-j3h 29 วันที่ผ่านมา

    Sir aap online padhate ho mujhe bhi batch lena hai online wala

    • @shiwamsclasses
      @shiwamsclasses 27 วันที่ผ่านมา

      Main iss website pe online classes leta hoon -> www.urbanpro.com/bangalore/shiwam-iit-graduate-mathematics-expert-for-iit-jee-main-advance-10th-11th-12th . Reach out to me here and we can discuss.

  • @sonikakumari6106
    @sonikakumari6106 หลายเดือนก่อน

    Thank u so much Sir.. But ek doubt hai -8 kyu nhi lenge answer mein?

    • @shiwamsclasses
      @shiwamsclasses 29 วันที่ผ่านมา

      Aap agar summation ∑ D k wala dekhoge to samajh mein aayega ki n ek positive integer hai. Summation wale part mein k,1 to n vary kar raha hai so humko usse positive integer treat karna padega.

    • @sonikakumari6106
      @sonikakumari6106 29 วันที่ผ่านมา

      @@shiwamsclasses ok thank-you sir

  • @Mriitian-i7p
    @Mriitian-i7p หลายเดือนก่อน

    ❤❤❤❤

  • @ynes9238
    @ynes9238 หลายเดือนก่อน

    💀💀

  • @KartikChandRamola
    @KartikChandRamola หลายเดือนก่อน

    Sir explain b karna hota hai

    • @shiwamsclasses
      @shiwamsclasses 29 วันที่ผ่านมา

      You are right. I should make a longer detailed video on this explaining all the steps.

  • @AdityaKankate-o1f
    @AdityaKankate-o1f หลายเดือนก่อน

    a aur d mae confusion hota hai

  • @AdityaKankate-o1f
    @AdityaKankate-o1f หลายเดือนก่อน

    Sir d thike likho

    • @shiwamsclasses
      @shiwamsclasses หลายเดือนก่อน

      OK, ye Pehle ka video hai. Aage ke videos Mein dhyan rakhoonga.

  • @moti6288
    @moti6288 2 หลายเดือนก่อน

    Great efforts

    • @shiwamsclasses
      @shiwamsclasses 7 วันที่ผ่านมา

      I'm glad you found it helpful!

  • @kaunshivansh
    @kaunshivansh 2 หลายเดือนก่อน

    Great Explaination!

    • @shiwamsclasses
      @shiwamsclasses 7 วันที่ผ่านมา

      Thank you! I'm glad you found the explanation helpful.

  • @rajyvardhansinghjadon5331
    @rajyvardhansinghjadon5331 2 หลายเดือนก่อน

    This video is reason why everyone should not take maths

  • @SojibDesigner-q2j
    @SojibDesigner-q2j 3 หลายเดือนก่อน

    Hello Boss, U need a professional TH-cam thumbnail Desigher? Thanks.

  • @SojibDesigner-q2j
    @SojibDesigner-q2j 3 หลายเดือนก่อน

    Hello Boss, Are you looking for a professional TH-cam thumbuil desigher.

  • @Omniman-tp7tw
    @Omniman-tp7tw 4 หลายเดือนก่อน

    That is a great way to explain to kids why triangles add up 180 degrees considering that I’m Primary 6.

    • @shiwamsclasses
      @shiwamsclasses 4 หลายเดือนก่อน

      Thank you for the kind words! It’s always rewarding to hear that my explanations resonate with learners like you.

  • @sanatan-k5s
    @sanatan-k5s 4 หลายเดือนก่อน

    Amazing 🥸

  • @annthomas4411
    @annthomas4411 4 หลายเดือนก่อน

    Finally.Someone who likes maths.

  • @Sweet__boy_12_12--insta
    @Sweet__boy_12_12--insta 4 หลายเดือนก่อน

    90

    • @shiwamsclasses
      @shiwamsclasses 4 หลายเดือนก่อน

      That's correct! You can also watch the solution video here : th-cam.com/users/shortsyEt2E-MvRRM

  • @ManitaRani-j2l
    @ManitaRani-j2l 4 หลายเดือนก่อน

    ❤❤

  • @SarthakRathor-109
    @SarthakRathor-109 5 หลายเดือนก่อน

    90

    • @shiwamsclasses
      @shiwamsclasses 4 หลายเดือนก่อน

      That's correct! You can also watch the solution video here : th-cam.com/users/shortsyEt2E-MvRRM

  • @Aswin2009.4
    @Aswin2009.4 5 หลายเดือนก่อน

    that is a truth in my life

  • @sanatan-k5s
    @sanatan-k5s 5 หลายเดือนก่อน

    😮

  • @coolxify
    @coolxify 5 หลายเดือนก่อน

    ❤ fax

  • @Eyeswideopennow70
    @Eyeswideopennow70 5 หลายเดือนก่อน

    Be a Monster and Learn to be Humble, mistake kindness for weakness and the Monster come for you

  • @Eyeswideopennow70
    @Eyeswideopennow70 5 หลายเดือนก่อน

    Truth Be Told

  • @Buy_YT_Views_21122
    @Buy_YT_Views_21122 7 หลายเดือนก่อน

    The use of natural lighting in certain scenes adds an organic feel to the visuals. It's a subtle touch that contributes to the authenticity of the video.

  • @jeffreyking5278
    @jeffreyking5278 ปีที่แล้ว

    *Promo SM* ⭐

  • @ZenonaShine
    @ZenonaShine ปีที่แล้ว

    Very nice class

  • @sanjaythe.mr.thanos29
    @sanjaythe.mr.thanos29 2 ปีที่แล้ว

    Thank you so much sir...............very easy explaination

    • @shiwamsclasses
      @shiwamsclasses 2 ปีที่แล้ว

      Thanks a lot for you comment. I am glad you found the vides helpful.

  • @utkarshsahay5736
    @utkarshsahay5736 2 ปีที่แล้ว

    With the help of this video I mastered every question of this exercise. Thank you very much !!

    • @shiwamsclasses
      @shiwamsclasses 2 ปีที่แล้ว

      Thank you @Utkarsh. Glad it helped you in some ways.

  • @shiwamsclasses
    @shiwamsclasses 2 ปีที่แล้ว

    Find out the value of sinx and cotx and comment in the section below. Check your answers with the lecture notes.

  • @shiwamsclasses
    @shiwamsclasses 2 ปีที่แล้ว

    Download the lecture notes from here - bit.ly/3QHOjvW

  • @utkarshsahay5736
    @utkarshsahay5736 2 ปีที่แล้ว

    0 answer

  • @shiwamsclasses
    @shiwamsclasses 2 ปีที่แล้ว

    Download the lecture notes from here - bit.ly/3QZHTs5

  • @shiwamsclasses
    @shiwamsclasses 2 ปีที่แล้ว

    Download lecture notes from here -> bit.ly/3PGqFPq

  • @dhirendrasahani
    @dhirendrasahani 2 ปีที่แล้ว

    Is it possible to figure out a way to add subtitles in Hindi? [If you think this may be useful].

  • @shiwamsclasses
    @shiwamsclasses 2 ปีที่แล้ว

    Download lecture notes from here -> bit.ly/3T7tLii

  • @shiwamsclasses
    @shiwamsclasses 2 ปีที่แล้ว

    Download lecture notes from here - bit.ly/3c0K7Z5

  • @shiwamsclasses
    @shiwamsclasses 2 ปีที่แล้ว

    Find the lecture notes here ->bit.ly/3psroIZ