Algebra MN and MP are tangent to Q Find the Value of x A 5 B

Algebra MN and MP are tangent to Q. Find the Value of x. A. 5 B. 6 C. 7 D. 8 8. Given C, find the value of x. A. 50 B. 80 C. 40 D. 160

Solution

Here we have the rule that the two tangents drawn from an exterior point on a circle are equal in length always.

So based on this rule, in given figure,

8x - 17 = 5x +4

or on subtracting 5x and addin 17 each side, we get

8x - 5x = 4+17

or 3x= 21

or x= 21/3 =7

so correct answer of question 6) is option C.