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In the figure given below, find a point P on CD equidistant from points A and B.

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In the figure given below, find a point P on CD equidistant from points A and B.

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Steps of Construction:

i) AB and CD are the two lines given.

ii) Draw a perpendicular bisector of line AB which intersects CD in P.

P is the required point which is equidistant from A and B.

Since P lies on perpendicular bisector of AB; PA = PB.

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