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Length of Tangents Drawn from an External Point

QR is a tange...

Question

QR is a tangent at Q to a circle whose centre is P.PR \vert\vert AQ, where AQ is a chord through A, the endpoint of the diameter AB. Prove that BR is tangentat B.

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Q. QR is a tangent at Q, PR ||AQ, where AQ is a chord through A and P is a centre, the point of the diameter AB. Prove that BR is tangent at B.

Q. In the given figure,

Q R

is a tangent at

Q

P

is centre of the circle and

P R | | A Q

A Q

is a chord through

A

, an end point of the diameter

A B

B R

B

.

Q. Through a point

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on a circle, a chord

A P

is drawn and on the tangent at

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T

is taken such that

A T = A P

T P

produced meet the diameter through

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. Prove that the limiting value of

A Q

P

A

is double the diameter of the circle.

A B

is a chord of a circle with centre

^{'} O^{'} A O C

is a diameter and

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is the tangent is the tangent at A as shown in Figure. Prove that

∠ B A T = ∠ A C B .

Q. AB is a chord of a circle with centre O, AOC is a diameter and AT is the tangent at A as shown in Figure. Prove that

∠ B A T = ∠ A C B

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