If a point P moves so that the distance from (0,2) to P is \(\frac{1}{√2 }\) times the distance of P from (-1,0), then the locus of the point P is
If a point P moves so that the distance from (0,2) to P is \(\frac{1}{√2 }\) times the distance of P from (-1,0), then the locus of the point P is
a circle with centre (1, 4) and radius 10 units
a circle with centre (-1, -4) and radius √10 units
A circle with centre (1, 4) and radius √10 units
a parabola with focus at (1,4) and length of latus rectum 10 units
The Correct Option is C
Solution and Explanation
The correct option is: (C) A circle with centre (1, 4) and radius √10 units
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Concepts Used:
Coordinate Geometry
The central idea in coordinate geometry is to assign numerical coordinates to points in a plane or space, which allows us to describe their positions and relationships using algebraic equations. The most common coordinate system is the Cartesian coordinate system, named after the French mathematician and philosopher René Descartes.