From a point P, two tangents PA and PB a...

From a point P, two tangents PA and PB are drawn to a circle C(0,r). If `OP = 2r`, show that `∆APB` is equilateral.

Topper's Solved these Questions

CIRCLES
KALYANI PUBLICATION|Exercise EXERCISE|39 Videos
ARITHMETIC PROGRESSION
KALYANI PUBLICATION|Exercise EXERCISE|22 Videos
Co-ordinate Geometry
KALYANI PUBLICATION|Exercise EXERCISE|58 Videos

Similar Questions

Explore conceptually related problems

Two tangents PA and PB are drawn to circle with centre O from an external point P. Prove that angleAPB= 2angleOAB

From an external point T, tangents PT is drawn to the circle whose centre is O. If OT = 29 cm and PT = 21 cm . Determine the diameter of the circle.

PA and PB are tangents to the circle with center O such that /_APB=50° , find /_OAB .

PA and PB are tangents to the circle with centre O such that /_APB = 60° , find /_OAB .

If the points of contact of the tangents drawn from an external points P to a circle with centre O be A and B,then show that PAOB is a cyclic quadrilateral.

PA and PB are two tangents drawn from an external point P at the points A and B on a circle C(0,r).Prove that OP_|_AB

If two tangents are drawn to a circle from an external points, they substand _______ angles at the _______.

PA and PB are two tangents drawn from an external point P at the points A and B on a circle with centre O.If another tangent to the circle intersects PA and PB at L and M respectively,show that LM=AL+BM.

Prove that the length of tangents drawn from an external point to a circle are equal.

Two triangles ABC and DBC are in the same side of the common base BC. Lines drawn parallel to BA and BD from any point E on BC intersect AC and DC at the points P and Q respectively. Show that PQ is parallel to AD.

KALYANI PUBLICATION-CIRCLES-EXERCISE

ABCD is a quadrilateral such thatangleD=90^@.The circle C(0,r) touches...
Text Solution
|
Prove that parallelogram circumscribing a circle is a rhombus.
Text Solution
|
From a point P, two tangents PA and PB are drawn to a circle C(0,r). I...
Text Solution
|
Prove that the length of tangents drawn from an external point to a ci...
Text Solution
|
Prove that the centre of a circle touching two intersecting lines lies...
Text Solution
|
In figure two equal circles touch each other at T if QP =4.5 cm then Q...
Text Solution
|
Draw a circle with centre O and radius 4 cm. Take a point P outside th...
Text Solution
|
Draw a circle of radius 1 cm. From a point P 2.2 cm apart from the cen...
Text Solution
|
Construct a tangent to a circle of radius 1.8 cm from a point on the c...
Text Solution
|
Draw a pair of tangents to a circle of radius 5 cm which are inclined ...
Text Solution
|
Draw a pair of tangent to a circle of radius 2.3 cm which are inclined...
Text Solution
|
What is the relation between tangent and secant?
Text Solution
|
From a point P,the length of the tangent to a circle is 15 cm and dist...
Text Solution
|
If CP and CQ are tangent from an external point C to a circle centered...
Text Solution
|
If two tangents are drawn from an external point to a circle, what is ...
Text Solution
|
How many tangents can you draw on a circle.
Text Solution
|
If two tangents are drawn to a circle from an external points, they su...
Text Solution
|
The length of tangent from an external point is always then the lengt...
Text Solution
|
Prove that opposite sides of a quadrilateral circumscribing a circle s...
Text Solution
|
Prove that parallelogram circumscribing a circle is a rhombus.
Text Solution
|