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Question

A and B are two fixed points. What will be the locus of the point P such that APB=90


A

The locus of point P is the perpendicular bisector of line joining AB.

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B

The locus of point P is the circumference of a circle with AB as the diameter.

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C

The locus of point P is the circumference of a semi-circle with AB as the diameter.

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D

The locus of P is any circle passing through the points A and B.

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Solution

The correct option is B

The locus of point P is the circumference of a circle with AB as the diameter.


Join AB and draw a circle with AB as diameter. The locus of point P is the circumference of this circle, since the angle in a semi circle is 90.
Therefore, whatever be the position of point P, the measure of APB will always be 90.


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