If the pair of tangents drawn to the circle x^2+y^2=a^2 from the point (10,4) are perpendicular, then a=

Step-by-step solution

Since the tangents are mutually perpendicular P 2 =45^ Let the point of contact of the tangent and the circle be A and B . Then in P A C, P A=C A since the triangles are isoscles right angled triangle. aligned & P C= 2 a (P C)^2=2 a^2 & (10^2+4^2 )=2 a^2 a= 58 aligned