You visited us 1 times! Enjoying our articles? Unlock Full Access!

Intersection between Secants

In the given ...

Question

In the given figure, chords AB and CD when extended meet at P. If AB = 4 cm, BP = 6 cm, DP = 5 cm, then CD =__.

12 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

8 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

7 cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D 7 cm

If two chords intersect externally, then $P A \times P B = P C \times P D$

$10 \times 6 = P C \times 5$ ........ (PA = AB + BP)

PC = 12 cm

CD + DP = 12 cm

CD = 12 – 5 ......... (DP = 5cm)

CD =7 cm

Suggest Corrections

Similar questions

In the figure chords AB & CD when extended meet at X. Given AB = 4 cm, BX = 6 cm, XD = 5 cm calculate the length of CD.

A B

C D

P

C P = 2

D P = 6

A P = 3

B P

A B

C D

A B = 4

B P = 3

C P = 14

C D

A B

C D

P

P A = 4

A B = 7

P D = 6

C D

Join BYJU'S Learning Program