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Locus of a point P equidistant from a fixed line and fixed point F is _____________

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Locus of a point P equidistant from a fixed line and fixed point F is _____________

(a) a circle with centre F

(b) an ellipse with foci P and F

(c) a parabola

(d) a hyperbola

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The above asked question is from Loci of Points by Different Methods topic in division Loci of Points & Orthographic Projections of Engineering Drawing

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Correct answer is (c) a parabola

Easy explanation: The point T given here is otherwise known as focus in parabola and also the ratio to perpendicular distance from the fixed line to distance from P to T is called eccentricity which is equal to 1 for a parabola.

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