Question

Solve that lenght of the tangent draw to circle from an external point are equal

Answer 1

Answer:

here ur answer dear friend

Step-by-step explanation:

Statement: The tangents drawn from an external point to a circle are equal.

Given:

PT and QT are two tangents drawn from an external point T to the circle C(O,r).

To Prove: PT=TQ

Construction:

Join OT.

Solution:

We know that a tangent to a circle is perpendicular to the radius through the point of contact.

∴∠OPT=∠OQT=90  

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In △OPT and △OQT,

∠OPT=∠OQT(90  

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)

OT=OT        (common)

OP=OQ       (Radius of the circle)

∴△OPT≅△OQT     (By RHS criterian)

So, PT=QT       (By CPCT)

Hence, the tangents drawn from an external point to a circle are equal.

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