The locus of all points whose distance from a fixed point is equal to its distance from a fixed line is a

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Solution

The definition of parabola says that it is the locus of all points whose distance from a fixed point is equal to its distance from a fixed line.

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Q. A fixed point is at a perpendicular distance a from a fixed straight line and a point moves so that its distance from the fixed point is always equal to its distance from the fixed line. Find the equation to its Locus, the axes of coordinates being drawn through the fixed point and being parallel and perpendicular to the given line.

Q. 54. A fixed point is at a perpendicular distance 'a' from a fixed straight line and a point moves so that its distance from the fixed point is always equal to its distance from the fixed line.Find the equation to its locus , the Axis of coordinates being drawn through the fixed point and being parallel and perpendicular to the given line.

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Q. Find the locus of a point which moves so that the difference of its distances from two fixed straight lines at right angles is equal to its distance from a fixed straight line.

A conic section is a locus of a point P which moves in such a way that its distance from a fixed point S always bears a constant ratio to its distance from a fixed line, all being in the same plane. The fixed point is called …… and the fixed line is called ……

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