Q14 of 141 Page 438

Two chords and of a circle intersect each other at outside the circle. If and find

Two chords AB and CD of a circle intersect each other at P outside the circle.


∴ AP × BP = CP × PD


⇒ (AB + BP) × BP = (CD + PD) × PD


⇒ (6 + 2) × 2 = (CD + 2.5) × 2.5


⇒ 16 = 2.5 CD + 6.25


⇒ 2.5 CD = 9.75


⇒ CD = 3.9 cm


More from this chapter

All 141 →
12

In the given figure, sides and of cyclic quadrilateral are produced to and respectively.

If and find the value of


13

In the given figure, is a diameter of a circle with center and

If calculate


(i) (ii)


(iii) (iv)


Also, show that is an equilateral triangle.


 15

In the given figure, is the center of a circle. If and calculate

(i) (ii)


16

In the given figure, is a cyclic quadrilateral whose sides and are produced to meet in

Prove that