JEE Main 2020MathematicsCircleChord With A Given Middle PointmediumMCQ

JEE Main 2020Circle Question with Solution

From: JEE Main 2020 (Online) 5th September Evening Slot

Question

If the length of the chord of the circle,
x2 + y2 = r2 (r > 0) along the line, y – 2x = 3 is r,
then r2 is equal to :

Choose an option

Show full solutionCorrect option: C
Correct answer
C

Step-by-step explanation

JEE Main 2020 (Online) 5th September Evening Slot Mathematics - Circle Question 103 English Explanation

In right CDB,

sin 60o =

CD = =

Now equation of AB is

y – 2x – 3 = 0

So =

=

r =

r2 =

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About this question

This is a previous-year question from JEE Main 2020, 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.