Question

In the following figure find x.

Answer 1

Answer:

x = 4

Step-by-step explanation:

In Given Figure 'x' is Radius of circle,

In ΔAOP,

∠OAP = 90°          ( Radius is Perpendicular to the Tangent Always)

Using Pythagoras Theorem,

OP² = OA² + AP²

( x + 1)² = x² + ( x - 1 )²

x² + 1 + 2x = x² + x² + 1 - 2x

2x + 2x  = x²

4x = x²

x = 4

Ans.