(B) The parametric coordinates of any point on the parabola $y^2 = 4ax$ are given by $(at^2, 2at)$.Comparing $y^2 = 9x$ with $y^2 = 4ax$,we get $4a =

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(B) The parametric coordinates of any point on the parabola $y^2 = 4ax$ are given by $(at^2, 2at)$.Comparing $y^2 = 9x$ with $y^2 = 4ax$,we get $4a = 9$,which implies $a = 9/4$.The $y$-coordinate of the point is $2at = -6$.Substituting the value of $a$:$2(9/4)t = -6$$(9/2)t = -6$$t = -6 \times (2/9)$$t = -12/9 = -4/3$.

Class 11 Mathematics 10-2. Parabola, Ellipse, Hyperbola Parabola

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Find the parameter $t$ for the point $(4, -6)$ on the parabola $y^2 = 9x$.

A
$4/3$
B
$-4/3$
C
$-3/4$
D
$-4/5$

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10-2. Parabola, Ellipse, Hyperbola

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Find the parameter $t$ for the point $(4, -6)$ on the parabola $y^2 = 9x$.

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