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

AI Generated Solution

To solve the problem step by step, we will follow the information provided in the question and use properties of tangents to circles. ### Step 1: Understand the Problem We have a circle with center O and an external point P from which two tangents PA and PB are drawn to the circle. We know that PA = 10 cm. A tangent at point E on the circle intersects PA at point C and PB at point D. We need to find the perimeter of triangle PCD. ### Step 2: Draw the Diagram Draw a circle with center O. Mark point P outside the circle. Draw the tangents PA and PB from point P to points A and B on the circle. Mark point E on the circle and draw the tangent line at E, which intersects PA at point C and PB at point D. ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CIRCLES

    NCERT EXEMPLAR ENGLISH|Exercise EXERCISE 9.3 SHORT ANSWER TYPE QUESTIONS|10 Videos

  • ARITHMETIC PROGRESSIONS

    NCERT EXEMPLAR ENGLISH|Exercise Long Answer Type Questions|10 Videos

  • CONSTRUCTIONS

    NCERT EXEMPLAR ENGLISH|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 an external point P , two tangents PA and PB are drawn to the circle with centre O . Prove that O P is the perpendicular bisector of A B .

From a point P , two tangents P A and P B are drawn to a circle with centre O . If O P= diameter of the circle, show that /_\ A P B is equilateral.

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.

From an external point P , tangents P A and P B drawn to a circle with centre O . If C D is the tangent to the circle at a point E and P A=14 c m , find the perimeter of P C D .

In the given figure, two tangents PQ and PR are drawn to a circle with centre C from an external point P, Prove that /_ QPR = 2 /_ OQR.

In the given figure, two tangents PQ and PR are drawn to a circle with centre O from an external point P, Prove that /_ QPR = 2 /_ OQR.

PA and PB are tangents from P to the circle with centre Odot At point M , a tangent is drawn cutting P A at K and P B at Ndot Prove that K N=A K+B Ndot

From a point P, two tangents PA and PB are drawn such that PA=10 cm and angleAPB=60^(@). Find the length of chord AB.

If tangents PA and PB are drawn from P(-1, 2) to y^(2) = 4x then

Home
Profile