Multiple choice

The lengths of tangents from the point $ \displaystyle \left ( 1,2 \right ) $ to the circles $ \displaystyle x^{2}+y^{2}+x+y-4=0 $ and $ \displaystyle 3x^{2}+3y^{2}-x-y-\lambda =0 $ are in the ratio 5:4 then the value of $ \displaystyle \lambda $ equals

  1. $ \displaystyle \frac{4}{17} $
  2. $ \displaystyle \frac{21}{4} $
  3. $ \displaystyle \frac{108}{25} $
  4. $ \displaystyle \frac{12}{25} $
Reveal answer Fill a bubble to check yourself
C Correct answer