Answer: d. 3
Step-by-step explanation:
By the The intersecting chords theorem,
[tex]x(x+3) = 2\times 9[/tex]
[tex]\implies x^2+3x=18[/tex]
[tex]\implies x^2+3x-18=0[/tex]
[tex]\implies x^2+6x-3x-18=0[/tex]
[tex]\implies x(x+6)-3(x+6)=0[/tex]
[tex]\implies (x-3)(x+6)=0[/tex]
[tex]\text{ if }x-3=0\implies x = 3[/tex]
or [tex]\text{ if }x+6=0\implies x = -6[/tex] ( can not possible)
Hence, x = 3
⇒ Option d is correct.
