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Question

Mathematics Question on Coordinate Geometry

If a point P moves so that the distance from (0,2) to P is 12\frac{1}{√2 } times the distance of P from (-1,0), then the locus of the point P is

A

a circle with centre (1, 4) and radius 10 units

B

a circle with centre (-1, -4) and radius √10 units

C

A circle with centre (1, 4) and radius √10 units

D

a parabola with focus at (1,4) and length of latus rectum 10 units

Answer

A circle with centre (1, 4) and radius √10 units

Explanation

Solution

The correct option is: (C) A circle with centre (1, 4) and radius √10 units