Question

In the figure, AB is a diameter to circle O, AO = 5, OD = 1 and CD is perpendicular to AB. The length of x + z is:

Answer 1

Answer:

B

Step-by-step explanation:

first make a radius line OC.

now in triangle ODC ,apply Pythagoras theorem ,and find the value of z.

now., in triangle ADC , by Pythagoras find value of x.

then add x and z.

Answer 2

Answer:

2($\sqrt{15} + \sqrt{6}$)

Step-by-step explanation:

Construction : Join OC

Now , In Δ ODC

OC = 5 ( radii of circle are equal)

OD = 1

$CO ^{2} = CD ^{2} + OD^{2}$

$5 ^{2} = 1^{2} + CD^{2}$

therefore CD = $\sqrt{24}$ or $2\sqrt{6}$