Question

WILL MAKR BRIANLIEST IF RIGTH!!!

Answer 1

Answer:

3 units

Step-by-step explanation:

By intersecting chords theorem:

$AE \times EB = CE \times ED$

$\therefore 3 \times 4= x \times (x+1)$

$\therefore 12= x^2 +x$

$\therefore x^2 +x-12=0$

$\therefore x^2 +4x-3x-12=0$

$\therefore x(x +4)-3(x+4)=0$

$\therefore (x +4)(x-3)=0$

$\therefore (x +4)=0, \: (x-3)=0$

$\therefore x=-4, \: x=3$

Since, the value of x can not be negative.

$\therefore x\neq - 4$

$\implies x = 3$

$\implies CE = 3$