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{y}^{{2}}={4}{x} be the parabola and the points {A}{({9},{6})}

Question

$y^{2} = 4 x$ be the parabola and the points $A (9, 6), B (4, - 4)$ lie on the parabola such that area of $△ A B C$ is maximum (given $C$ lies at the arc contain origin). Find the maximum area of $△ A B C$ (A) $\frac{101}{2}$ (B) $\frac{69}{2}$ (C) $\frac{125}{4}$ (D) $\frac{521}{3}$

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y^{2} = 4 x

be the parabola and the points

A (9, 6), B (4, - 4)

lie on the parabola such that area of

△ A B C

is maximum (given

C

lies at the arc contain origin). Find the maximum area of

△ A B C

(A)

\frac{101}{2}

(B)

\frac{69}{2}

(C)

\frac{125}{4}

(D)

\frac{521}{3}

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Question Text

y^{2} = 4 x

be the parabola and the points

A (9, 6), B (4, - 4)

lie on the parabola such that area of

△ A B C

is maximum (given

C

lies at the arc contain origin). Find the maximum area of

△ A B C

(A)

\frac{101}{2}

(B)

\frac{69}{2}

(C)

\frac{125}{4}

(D)

\frac{521}{3}

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