JEE Main 2020MathematicsCircleEasyMCQ

JEE Main 2020 — Circle Question with Solution

JEE Main 2020 (05 Sep Shift 2)

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: D
Correct answer
D125

Step-by-step explanation

AB=r,AD=r2

CD=rsin60°=3r2
⇒0+0-312+22=3r2⇒r=235⇒r2=125

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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.