If A(4,−4) and B(9,6) lies on y2=4x and a point C on arc AOB(O=orig∈) such that the area of △ACB is maximum then point c is

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If {A}{({4},-{4})} and {B}{({9},{6})} lies on {y}^{{2}}={4}{x}

Question

If $A (4, - 4)$ and $B (9, 6)$ lies on $y^{2} = 4 x$ and a point C on arc $A O B (O = or i g \in)$ such that the area of $△ A C B$ is maximum then point c is

(\frac{1}{4}, 1)

(1, \frac{1}{4})

(1, \frac{1}{2})

(\frac{1}{2}, 1)

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Benjamin Discussed

A (4, - 4)

and

B (9, 6)

lies on

y^{2} = 4 x

and a point C on arc

A O B (O = or i g \in)

such that the area of

△ A C B

is maximum then point c is

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Question Text

A (4, - 4)

and

B (9, 6)

lies on

y^{2} = 4 x

and a point C on arc

A O B (O = or i g \in)

such that the area of

△ A C B

is maximum then point c is