Questions

$P$ is a point on the parabola $y^{2} = 4 a x$ whose ordinate
is equal to its abscissa and $P Q$ is a focal chord, $R$
and $S$ are the feet of the perpendiculars from $P$ and
$Q$ respectively on the tangent at the vertex, $T$ is the
foot of the perpendicular from $Q$ to $P R$ , area of the
triangle $P T Q$ is

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detailed solution

Correct option is C

P(4a,4a),Q(a/4,−a),R(0,4a),S(0,−a)T(a/4,4a). so area of the ∆PTQ is 12×PT∣×QT=124a−a4×5a=758a2 .

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P is a point on the parabola y2=4ax whose ordinateis equal to its abscissa and PQ is a focal chord, Rand S are the feet of the perpendiculars from P andQ respectively on the tangent at the vertex, T is thefoot of the perpendicular from Q to PR, area of thetriangle PTQ is

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