JEE Main 2020MathematicsParabolaHardMCQ

JEE Main 2020 — Parabola Question with Solution

JEE Main 2020 (03 Sep Shift 2)

Question

Let the latus rectum of the parabola y2=4x be the common chord to the circles C1 and C2 each of them having radius 25. Then, the distance between the centres of the circles C1 and C2 is :

Choose an option

Show full solutionCorrect option: B
Correct answer
B8

Step-by-step explanation

Co-ordinates of focus of parabola will be S=a, 0=1, 0.

Now, length of latus-rectum =4.

So, length of semi latus-rectum =2.

Also, ∠LSC1=90°

Now, radius of circle LC1=25

Now, applying pythagoras theorem in △LSC1,

LC12=C1S2+LS2

⇒C1S2=LC12-LS2=252-22=16

⇒C1S=16=4

∴C1C2=2C1S=2×4=8.

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About this question

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