JEE Main 2022MathematicsCircleChord Of ContactmediumNumerical

JEE Main 2022Circle Question with Solution

From: JEE Main 2022 (Online) 24th June Evening Shift

Question

Let a circle C : (x h)2 + (y k)2 = r2, k > 0, touch the x-axis at (1, 0). If the line x + y = 0 intersects the circle C at P and Q such that the length of the chord PQ is 2, then the value of h + k + r is equal to ___________.

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Show full solutionCorrect answer: 7
Correct answer
7

Step-by-step explanation

JEE Main 2022 (Online) 24th June Evening Shift Mathematics - Circle Question 61 English Explanation

Here,

Equation of circle is

h = 1, k = 3, r = 3

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About this question

This is a previous-year question from JEE Main 2022, 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.