YESPYQ Start Practice
🛠️ JEE➗ Maths

Let \(S_1: x^2+y^2=9\) and \(S _2:(x-2)^2+y^2=1\). Then the locus of center of a variable circle \(S\) which touches \(S…

Q1

Let \(S_1: x^2+y^2=9\) and \(S _2:(x-2)^2+y^2=1\). Then the locus of center of a variable circle \(S\) which touches \(S_1\) internally and \(S_2\) externally always passes through the points:

[JEE Main 2021, 18 Mar (Shift 2)]

a

\(\left(\frac{1}{2}, \pm \frac{\sqrt{5}}{2}\right)\)

b

\((0, \pm \sqrt{3})\)

c

\((1, \pm 2)\)

d

\(\left(2, \pm \frac{3}{2}\right)\)

🔒
Answer & explanation — PYQ Pass

Options are free to see. Unlock the correct answer and full explanation with Pass.

Unlock · ₹149
← Previous questionNext question →

Practice more JEE Maths PYQs

See every question on Circles, or browse the full JEE question bank.

See all questions on Circles →