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  • The length of the tangent drawn from any point on the circle of intersection of two mutually perpendicular tangents to the circle  <img alt="\mathrm{x^2+y^2=9 \text { is } \sqrt{2} x

The length of the tangent drawn from any point on the circle of intersection of two mutually perpendicular tangents to the circle 

\mathrm{x^2+y^2=9 \text { is } \sqrt{2} x+4 y-a=0}.is _______

Option: 1

2


Option: 2

3


Option: 3

8


Option: 4

1


Answers (1)

best_answer

: If P be (h, k) on 1st circle, then

\mathrm{h^2+k^2+2 g h+2 f k+1=0}

the length of tangent \mathrm{-\sqrt{S^{\prime}}=\sqrt{h^2+k^2+2 g h+2 f k+10}}

\mathrm{=\sqrt{-1+10}=3}

Posted by

Sayak

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