Locus of a point which is at a fixed distance from a given line are lines above and below the given line and parallel to it.

True

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False

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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.

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.

Match the columns by referring to the definition given below.

"A conic is the locus of a point which moves in a plane so that its distance from a fixed point is in a constant ratio to its perpendicular distance from a fixed straight line”.

\begin{matrix} Definition & Name P) Fixed point & 1. Axis Q) Fixed straight line & 2. Vertex R) Constant ratio & 3. Directrix S) Line passing through fixed point and perpendicular to fixed line & 4. Focus 5. Eccentricity \end{matrix}

Q. 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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