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Standard X

Mathematics

Introduction to LOCI

Chords AB & C...

Question

Chords AB & CD (not the diameters) of a circle intersect at point P inside the circle.

Find the sum of the angles subtended at the centre of the circle by the arcs AC & BD in terms of ∠APC.

∠APC

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1.2∠APC

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1.5∠APC

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1.8∠APC

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2∠APC

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Solution

The correct option is E
2∠APC

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Similar questions

Q. Two chords

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intersect at

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inside the circle. Prove that the sum of the angles subtended by the arcs

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In the given figure, $A B$ and $C D$ are two chords of a circle, intersecting each other at a point $E .$ Prove that $∠ A E C = \frac{1}{2}$ (angle subtended by arc $C X A$ at the centre $+$ angle subtended by arc $D Y B$ at the centre).

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Q. Question 8
In the figure, AB and CD are two chords of a circle intersecting each other at point E. Prove that

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(angle subtended by arc CXA at centre + angle subtended by arc DYB at the centre).

O is the centre of the circle. AB is a minor arc of the circle. The angle subtended by AB at centre, $∠$ AOB = $110^{\circ}$ , then angle subtended by the arc at any point on the circle say $∠$ APB is ____, where P is any point on the circle.

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Chords AB & CD (not the diameters) of a circle intersect at point P inside the circle. Find the sum of the angles subtended at the centre of the circle by the arcs AC & BD in terms of ∠APC.

The correct option is E 2∠APC

Chords AB & CD (not the diameters) of a circle intersect at point P inside the circle.

Find the sum of the angles subtended at the centre of the circle by the arcs AC & BD in terms of ∠APC.

The correct option is E
2∠APC