The equation of parabola with vertex at origin the axis is along x-axis and passing through the point (2, 3) is
(a) y² = 9x
(b) y² = 9x/2
(c) y² = 2x
(b) y² = 2x/9
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A parabola with its axis along the x-axis and vertex(0,0) and directrix x=-a,
has the equation:
y²=4ax
∵ (2,3) lies on the parabola,
3²=4a(2)
9=8a
9/2= 4a
∴ equation of parabola is :
y²=(9/2)x
a. y2= 9x/2
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