Question

If the length of the tangent from (5,4) to the circle x² + y² + 2py=0 is 1
and radius k then A.M. of p, k =​

Answer 1

Answer:

The radius of the circle, the tangent from (5,4) and the point (5,4) when joined to the center of the circle, (0,−k) forms a right angled triangle.

∴ (length of tangent)

2

+ (radius)

2

= (distance of (5,4) from center of the circle)

2

∴ (length of tangent)

2

+k

2

=(5−0)

2

+(4+4)²