From an external point P, two tangents , PA and PB are drawn to a circle with centre O. At one point E on the circle tangent is drawn which intersects PA and PB at C and D, respectively. If PA = 10 cm, find the perimeter of the triangle PCD.

30 cm

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

20 cm

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

25 cm

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

33 cm

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

Open in App

Solution

The correct option is B 20 cm
Two tangents PA and PB are drawn to a circle with centre O from an external point P.

Perimeter of $△ P C D = P C + C D + P D$
= PC+CE+ED+PD
= PC+CA+DB+PD
= PA + PB
= 2 PA = 2(10)
= 20cm
[ $∵$ CE=CA DE = DB PA = PB tangents from internal point to a circle are equal]

Suggest Corrections

Similar questions

Question 3
From an external point P, two tangents , PA and PB are drawn to a circle with centre O. At one point E on the circle tangent is drawn which intersects PA and PB at C and D, respectively. If PA = 10 cm, find the perimeter of the triangle PCD.

Q. Question 3
From an external point P, two tangents , PA and PB are drawn to a circle with centre O. At one point E on the circle tangent is drawn which intersects PA and PB at C and D, respectively. If PA = 10 cm, find the perimeter of the triangle PCD.

Q. From an external point P, two tangents, PA and PB are drawn to a circle with centre O. At one point E on the circle tangent is drawn which intersects PA and PB at C and D, respectively. If PA

=

10 cm, find the the perimeter of the

Δ P C D

Q. From an external point P, tangents PA and PB are drawn to a circle with centre O. If CD is the tangent to the circle at a point E and PA = 14 cm, find the perimeter of ΔPCD.

Q. From an external point P, tangents PA and PB are drawn to a circle with centre O. If CD is the tangent to the circle at the point E and PA = 14 cm, find the perimeter of ∆PCD.
Figure

Join BYJU'S Learning Program

From an external point P, two tangents , PA and PB are drawn to a circle with centre O. At one point E on the circle tangent is drawn which intersects PA and PB at C and D, respectively. If PA = 10 cm, find the perimeter of the triangle PCD.

The correct option is B 20 cmTwo tangents PA and PB are drawn to a circle with centre O from an external point P. Perimeter of △PCD=PC+CD+PD = PC+CE+ED+PD = PC+CA+DB+PD = PA + PB = 2 PA = 2(10) = 20cm [ ∵ CE=CA DE = DB PA = PB tangents from internal point to a circle are equal]