Question

If the lengths of the tangents from the point (1, 2) to the circles $x^2+y^2+x+y-4=0$ and $3x^2+3y^2-x-y-\lambda =0$ are in the ratio 4:3 then $\lambda =$

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Length of a tangent from point S to the circle is $S_{11}$
$\frac{\sqrt{S_{11}}}{\sqrt{S_{11}^1}}=\frac{4}{3}$