Question

Determine the value of x. 1) x = 9 2) x = 4 3) x = 0.5 4) x = 5

Answer 1

Answer : The correct option is (4) x = 5

Explanation :

As we know that the tangents from a common point to a circle that is outside a circle are equal in length.

As we are given that:

Length of tangent 1 = 9

Length of tangent 2 = 2x - 1

According to the circle theorem:

Length of tangent 1 = Length of tangent 2

So,

9 = 2x - 1

2x = 9 + 1

2x = 10

x = 5

Therefore, the value of x is 5.