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

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.

In the following figure, if the chords AB and CD are equal to 6cm, then find the distance of the chords AB and CD from the centre of the circle of radius 5 cm.

In the given figure AB and DC are two chords of a circle with centre O, which when produced meet at P. If PB = 7 cm, BA = 10 cm and PO =12cm, find the radius of the circle.

In the given circle, chords AB and CD intersect each other at P. CP = (x − 4) cm, DP = (y + 10) cm, AP = (x − 1) cm, and BP = (y + 1) cm.

If x + 2y = 23, then what is the sum of the lengths of chords AB and CD?

Join BYJU'S Learning Program

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 =__.

The correct option is D 7 cm If two chords intersect externally, then PA×PB=PC×PD 10×6=PC×5 ........ (PA = AB + BP) PC = 12 cm CD + DP = 12 cm CD = 12 – 5 ......... (DP = 5cm) CD =7 cm

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