JEE Main 2019MathematicsCircleFamily Of CirclemediumMCQ

JEE Main 2019Circle Question with Solution

From: JEE Main 2019 (Online) 10th April Evening Slot

Question

The locus of the centres of the circles, which touch the circle, x2 + y2 = 1 externally, also touch the y-axis and lie in the first quadrant, is :

Choose an option

Show full solutionCorrect option: B
Correct answer
B

Step-by-step explanation

Let the centre is (h, k) & radius is h (h, k > 0)

OP = h + 1

JEE Main 2019 (Online) 10th April Evening Slot Mathematics - Circle Question 114 English Explanation






Locus is y2 = 2x + 1

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Circle chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2019, 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.