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Length of Tangents Drawn from an External Point

TP and TQ are...

Question

TP and TQ are tangents drawn to a circle with centre O. Show that .

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Solution

The given figure is:

We know that the tangents drawn to a circle from an external point are equal and they are equally inclined to the line joining the external point and the centre.

∴

Let

In ΔPMT:

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Similar questions

T P

T Q

O

∠ P T Q = 2 ∠ O P Q

From an external point $T,$ two tangents $T P$ and $T Q$ are drawn to a circle having it's center at O. Prove that $∠ P T Q = 2 ∠ O P Q$

T P

T Q

O

T

∠ P T Q = 2 ∠ O P Q

T P

T Q

O

T

∠ P T Q - 2 ∠ O P Q

T P

T Q

O

T

∠ P T Q = 2

∠ O P Q

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