JEE Main 2022MathematicsCircleChord With A Given Middle PointmediumMCQ

JEE Main 2022Circle Question with Solution

From: JEE Main 2022 (Online) 26th July Evening Shift

Question

Let the abscissae of the two points and on a circle be the roots of and the ordinates of and be the roots of . If is a diameter of the circle , then the value of is _____________.

Choose an option

Show full solutionCorrect option: A
Correct answer
A12

Step-by-step explanation

Abscissae of PQ are roots of

Ordinates of PQ are roots of

and PQ is diameter

Equation of circle is

But, given

By comparison

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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.