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Question

The equation of the parabola with vertex at (0, 0), axis along x-axis and passing through (53,103) is

A
y2=20x
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B
y2=20x3
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C
y2=10x3
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D
x2=20y3
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Solution

The correct option is B y2=20x3
The equation of parabola whose vertex is
at (0,0) and the axis is along x axis
y2=±4ax
as the curve is going through The point
(5/3,10/3)
So, the curve is y2=4ax
(10/3)2=4.a(5/3)
100=4.a.15
a=5/3
The curve is y2=4.5/3.x
3y2=20x [Ans]

1154934_874166_ans_5a987bed4c1b49bc86270eb7d1a7e9bb.jpg

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