If a circle C passing through the point (4, 0) touches the circle x^2 + y^2 + 4x 6y =12 externally

If a circle C passing through the point (4, 0) touches the circle x^2 + y^2 + 4x - 6y = 12 externally at the point (1, -1), then the radius of C is (1) 2√5 (2) 4 (3) 5 (4) √57.
Solve this thought-provoking JEE Main 2019 problem involving the geometry of circles: A circle C, passing through the point (4,0), touches the circle x^2 + y^2 +4x−6y=12 externally at the point (1,−1). Determine the radius of circle C from the given options.
Problem Statement:
Circle C passes through (4,0).
Circle C touches another circle x^2 + y^2 +4x−6y=12 externally at (1,−1).
Find the radius of circle C.
Options: (1) 2√5 (2) 4 (3) 5 (4) √57.
Topics Covered:
External tangency of circles
Geometry and properties of circles
JEE Main Previous Year Questions
Watch this video for a detailed, step-by-step solution with geometric insights to strengthen your understanding. Subscribe for more solved questions and tips to ace JEE exams! 🚀✨
Check out my website for free courses - www.shiwamscla...