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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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Question

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

Sum
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Solution

Steps of construction:

  1. AB and CD are the two lines given.
  2. 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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