Mathematics

If A and B are two fixed points, then the locus of a point P such that ∠APB = 90°, is the:

  1. square

  2. rectangle

  3. circle

  4. rhombus

Locus

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Answer

All points P that satisfy ∠APB = 90° lie on a circle for which AB is the diameter.

This is because a right angle is subtended only by the diameter of a circle.

So, the locus is a circle.

Hence, option 3 is the correct option.

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