JEE Main 2016MathematicsCircleMediumMCQ

JEE Main 2016 — Circle Question with Solution

JEE Main 2016 (09 Apr Online)

Question

A circle passes through -2,4 and touches the y-axis at 0,2. Which one of the following equations can represent a diameter of this circle ?

Choose an option

Show full solutionCorrect option: A
Correct answer
A2x-3y+10=0

Step-by-step explanation

As y-axis is tangent to the circle therefore the centre of the circle would be x,2 and distance of centre from 0,2 and -2,4 should be equal.

∴ h2+02=h+22+22

⇒h2=h2+4h+4+4

⇒h=-2

Hence, centre is -2,2.

∴ 2x-3y+10=0 is the diameter, as centre lies on it.

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About this question

This is a previous-year question from JEE Main 2016, 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.