If AB is a chord of a circle, P and Q are the two points on the circle different from A and B, then

$∠ A P B = ∠ A Q B$

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$∠ A P B = ∠ A Q B = 180^{o} o r ∠ A P B = ∠ A Q B$

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$∠ A P B + ∠ A Q B = 90^{o}$

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$∠ A P B + ∠ A Q B = 180^{o}$

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Solution

The correct option is A
$∠ A P B = ∠ A Q B$

AB is chord of a circle, P and Q are two points other than from points A and B

$∵ ∠ A P B a n d ∠ A Q B$ are in the same segment of the circle

$∴ ∠ A P B = ∠ A Q B$

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Similar questions

Q. If AB is a chord of a circle, P and Q are the two points on the circle different from A and B, then

(a) ∠APB = ∠AQB

(b) ∠APB + ∠AQB = 180° or ∠APB = ∠AQB

(c) ∠APB + ∠AQB = 90°

(d) ∠APB + ∠AQB = 180°

Q. Two circles intersects each other at points

A

and

B

A P

and

A Q

are diameter of the two circles respectively. If

∠ A P B = 40^{o}

and

∠ A Q B = 70^{o}

, find

∠ P A B

and

∠ Q A B

In the given figure, PA and PB are two tangents to the circle with center O. If $∠ A P B = 40^{\circ}$ , find $∠ A Q B$ and $∠ A M B$ . [4 MARKS]

In the given figure, A,B,C,D are points on a circle centred at O.The lines AC and BD are extended to meet at P and lines AD and BC intersect at Q. Then prove that $∠ A P B + ∠ A Q B = ∠ A O B$ .

∠ A P B = x, ∠ A Q B = y

and

∠ A O B = z

Then prove that:

∠ x + ∠ y = ∠ z

Also, find the value of angleCAB

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If AB is a chord of a circle, P and Q are the two points on the circle different from A and B, then

The correct option is A ∠APB=∠AQB AB is chord of a circle, P and Q are two points other than from points A and B ∵∠APB and ∠AQB are in the same segment of the circle ∴∠APB=∠AQB

The correct option is A
$∠ A P B = ∠ A Q B$

AB is chord of a circle, P and Q are two points other than from points A and B

$∵ ∠ A P B a n d ∠ A Q B$ are in the same segment of the circle

$∴ ∠ A P B = ∠ A Q B$