Home
Class 10
MATHS
From an external point P, two tangents, ...

From an external point P, two tangents, PA and PB are drawn to a circle with centre 0. 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.

Text Solution

Verified by Experts

Two tangents PA and PB are drawn to a circle O from an external point P.

Perimeter of `DeltaPCD=PC+CD+PD`
`=PC+CE+ED+PD`
`PC+CA+DB+PD`
`=PA+PB`
`2PA=2(10)`
=20cm
[`:'CE=CA,DE=DB,PA=PB` tangents from internal point to a circle are equal]
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    NCERT EXEMPLAR|Exercise Arithmetic Progressions|71 Videos

  • CONSTRUCTIONS

    NCERT EXEMPLAR|Exercise Exercise 10.4 Long Answer type Questions|7 Videos

Similar Questions

Explore conceptually related problems

From an external point P, tangents PA and PB are drawn to a circle. CE is a tangent to the circle at D which intersect PA and PB at point E and C respectvely. If AP=15 cm, find the permeter of the trianglePEC.

From the external point P tangents PA and PB are drawn to a circle with centre O. If angle PAB = 50^(@) , then find angle AOB .

Knowledge Check

  • From a point P, two tangents PA and PB are drawn to a circle with centre O. If OP is equal to diameter of the circle, then /_APB is

    A
    `45^@`
    B
    `90^@`
    C
    `30^@`
    D
    `60^@`

  • From a point P two tangents PA and PB are drawn to a circle with centre O.if OP is equal to diameter of the circle then angle APB is

    A
    `60^@`
    B
    `45^@`
    C
    `90^@`
    D
    `30^@`

  • Two tangents PA and PB are drawn to a circle with centre O from an external point P. if angleOAB = 30^@," then "angleAPB is:

    A
    `15^@`
    B
    `30^@`
    C
    `120^@`
    D
    `60^@`

    • Similar Questions

    Explore conceptually related problems

    From a point P, two tangents PA and PB are drawn to a circle with centre O. If OP= diameter of the circle,show that APB is equilateral.

    From an external point two tangents PA and PB are drawn to the circle with center O. Prove that OP is perpendicular bisector of AB.

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

    Two tangents PA and PB are drawn to a circle with centre O from an external point P. Prove that angle APB = 2 angle OAB

    From a point P, two tangents PA and PB are drawn to a circle with centre O and radius r. If OP=2r, show that triangleAPB is equilateral.

    Home
    Profile