An arc ACB subtends $∠ A O B$ at the centre of the circle. If 2 arcs are drawn with A and B as centre with a fixed radius such that they intersect at point P, then line OP will ___________ $∠ A O B$ .

be at right angles to

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bisect

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trisect

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be at zero angle to

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Solution

The correct option is B
bisect

The steps given in the question is the general procedure for bisecting any angle. Hence OP will bisect the $∠ A O B$ .

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If I do the following constructions step by step, what will be the angles constructed (in degrees)?

Step 1. Draw an arc on the line XY with an arbitrary point O on line XY, as centre and radius r. With the same radius and point of intersection of arc and line, ‘A’, as centre draw another arc on the first arc at point B. So, $∠ A O B$ is __.

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An arc ACB subtends ∠AOB at the centre of the circle. If 2 arcs are drawn with A and B as centre with a fixed radius such that they intersect at point P, then line OP will ___________ ∠AOB.

The correct option is B bisect The steps given in the question is the general procedure for bisecting any angle. Hence OP will bisect the ∠AOB.

An arc ACB subtends $∠ A O B$ at the centre of the circle. If 2 arcs are drawn with A and B as centre with a fixed radius such that they intersect at point P, then line OP will ___________ $∠ A O B$ .

The correct option is B
bisect

The steps given in the question is the general procedure for bisecting any angle. Hence OP will bisect the $∠ A O B$ .