Correct option is C
Given:
The chord of contact of tangents drawn from a point on the circle x² + y² = a²
to the circle x² +y² = b² touches the circle x² + y² = c²
such that , where m, n, p, ∈ N.
m + n + p + 10.
Solution:
Let there is a point P(h, k) on the circle
(h, k) will satisfy the equation.
=>
The equation of the chord of the contact of tangents drawn from the point P(h, k) to the circle will be
The perpendicular distance of this tangent from the center of the circle will be equal to the radius of the circle.
Comparing it with
=> p = 1, m =2 ,n = 1
so, m + n + p + 10. = 10+1+1=+2
=14
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