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The locus of point P whose perpendicular distance from a fixed line and distance from a point T is equal is _______________

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The locus of point P whose perpendicular distance from a fixed line and distance from a point T is equal is _______________

(a) a circle

(b) an ellipse

(c) a parabola

(d) a hyperbola

The question was asked in unit test.

I want to ask this question from Loci of Points by Different Methods in chapter Loci of Points & Orthographic Projections of Engineering Drawing

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Right choice is (c) a parabola

Explanation: The point T given here is otherwise known as focus in a 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 parabola.

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