Circle_JEE MAIN 2021_180321_S2 - Competishun – Live JEE & NEET Courses and Exam Prep

JEE MAIN 2021

18-03-21 S2

Question

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 :

Select the correct option:

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

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

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

$(1, \pm 2)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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