If , , and be any three points, show that is independent of…

MATHEMATICS · Subjective · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

If

P(a^2 + 2a, 0)

,

Q\left(a^2 - \frac{2a}{t}, 0\right)

, and

S(a, 0)

be any three points, show that

\frac{1}{SP} + \frac{1}{SQ}

is independent of

t

.

Related theory

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