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Question

PQ is the perpendicular bisector of AB. Then which of the following are correct?

A
AP = BP
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B
AP = BQ
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C
AOP = BOP
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D
OB = OP
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Solution

The correct options are
A AP = BP
B AP = BQ
C AOP = BOP
Given
PQ is the perpendicular bisector of AB.
AOP = BOP = 90.

During construction, arcs are dawn on either side of AB with the same radius
AP = AQ
With the same radius and taking B as centre another two arcs are drawn to cut the previous arcs at P , Q .
AP = AQ = BP = BQ (Equal radii)

AP = BP and AP = BQ is also true.

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