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Question

In the above question, which of the following geometrical figures would help you in solving the problem?


A

Line segment

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B

Perpendicular bisector

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C

Arc (part of a circle)

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D

Line

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Solution

The correct option is C

Arc (part of a circle)


Since we need points which are at an equal distance from a given point, our first logical choice of a geometrical figure would be – Circles.
In a circle, all the points on the circumference are at a constant distance from a point called the centre.
In the above problem, from P, we draw an arc which intersects the rays PA and PB as shown in the figure.
So, a part of a circle, i.e. an arc would also be at a constant distance from a given point.


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