Question

What’s the correct answer for this question?

Answer 1

Answer: PD = 6

Explanation:

PD = PB + AB = 12

When two secant lines intersect each other outside a circle, the products of their segments are equal. This is:

PB x PA = PD x PC

7 x 12 = PD x 14

PD = 7 x 12 / 14

PD = 6

Answer 2

`6`

Explanation:

In the given figure, secants PA and PC are intersecting outside of the circle at point P.

PA = PB + AB = 7 + 5 = 12

PC = 14, PD =?

By the property of intersecting secants outside of a circle:

`PB * PA = PD* PC\\</p><p>\therefore 7* 12 = PD * 14\\</p><p>\therefore 84 =PD * 14\\\\</p><p>\therefore PD = (84)/(14)\\\\</p><p>\therefore PD = 6\\\\</p><p>`