Question

Who is good at geometry that can help me?

Answer 1

Answer:  d. 3

Step-by-step explanation:

By the The intersecting chords theorem,

$x(x+3) = 2\times 9$

$\implies x^2+3x=18$

$\implies x^2+3x-18=0$

$\implies x^2+6x-3x-18=0$    

$\implies x(x+6)-3(x+6)=0$

$\implies (x-3)(x+6)=0$

$\text{ if }x-3=0\implies x = 3$

or $\text{ if }x+6=0\implies x = -6$ ( can not possible)

Hence, x = 3

⇒ Option d is correct.