JEE Main 2021 (18 Mar, Shift 2) Maths Q74: Conic Sections

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 :

Accepted Answer

Option 1: $\left(2, \pm\frac{3}{2}\right)$

Answer

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

Answer

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

Answer

$(1, \pm 2)$

Answer

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

JEE Main 18 March 2021, Shift 2, Maths Q74