JEE Main 2025MathematicsCircleChord With A Given Middle PointmediumMCQ

JEE Main 2025Circle Question with Solution

From: JEE Main 2025 (Online) 29th January Morning Shift

Question

Let the line x+y=1 meet the circle at the points A and B. If the line perpendicular to AB and passing through the mid-point of the chord AB intersects the circle at C and D, then the area of the quadrilateral ABCD is equal to :

Choose an option

Show full solutionCorrect option: C
Correct answer
C

Step-by-step explanation

JEE Main 2025 (Online) 29th January Morning Shift Mathematics - Circle Question 9 English Explanation

By solving with circle

We get

By solving with circle we set

&

Area of Quadrilateral ACBD

Area of

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About this question

This is a previous-year question from JEE Main 2025, 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.