Question from jee

nothing else given ?? C2 has no restriction ?

aaragon dont u think u have drawn a biased figure..........concentri isn't given

from, RQ+RP=r1+r2 , it looks like locus could be ellipse..............[12][12]

sir aaj cam nahin hai

but the concept is

Let the radius of C₁ be r₁ and circle C₂ be r₂ and let the center of C₁ be at (0,0) and C₂ at (h,k)

equation of C₁=> x²+y²=r₁²
equation of C₂=> (x-a)²+(y-b)²=r₂²

let the center of C be (h,k)and be of radius r

so
√(h-a)²+(y-b)²=r+r₂ =A
√(h²+k²)=r₁-r =B

So

we can see that A+b = constant

or
PS+PS`=constant
which is the locus of the ellipse at focii (a,b) and (0,0)