Q15 IIT ADVANCED 2024 SOLUTION SERIES ||GANIT MAHASABHA||

In this video, we solve a problem where a line touches a circle at a point, and we find the coordinates of two points on the circle, along with some key values related to the circle and the geometry. We are given a line with a specific slope and a circle with a center at a certain height. The task involves finding how far the line is from the center of the circle, and we use this to calculate the radius. We are also given a condition about the sum of the radius and the center’s height, which helps us figure out the height of the center.
Next, we determine the coordinates of two specific points on the circle, one where the line touches the circle and the other that lies on the opposite side of the circle. These two points form a line that passes through the center of the circle. By matching the correct values from two lists, we solve the entire problem and identify the correct option.
Watch this video for a detailed explanation and step-by-step solution to this interesting geometric problem!
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[@Ganitgsgyan]

Nice explanation