JEE Main 2023MathematicsCircleTangent And NormalmediumMCQ

JEE Main 2023 — Circle Question with Solution

From: JEE Main 2023 (Online) 13th April Evening Shift

Question

Let the centre of a circle C be and its radius . Let and be two tangents and be a normal to C. Then is equal to :

Choose an option

Show full solutionCorrect option: A
Correct answer
A7

Step-by-step explanation

JEE Main 2023 (Online) 13th April Evening Shift Mathematics - Circle Question 39 English Explanation

First find point A by solving and

After solving, point is

Centre lie on



Now distance from centre to line 0 and are equal.



After solving and

For , centre radius

For , centre



Hence,

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About this question

This is a previous-year question from JEE Main 2023, covering the Circle chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.