(A) The focus of the parabola is $(a, 0) = (6, 0)$,which implies $a = 6$.The directrix of the parabola is $x = -a$,which is $x = -6$.Since the focus l

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(A) The focus of the parabola is $(a, 0) = (6, 0)$,which implies $a = 6$.The directrix of the parabola is $x = -a$,which is $x = -6$.Since the focus lies on the $x$-axis and the directrix is a vertical line,the parabola is of the form $y^2 = 4ax$.Substituting $a = 6$ into the equation,we get $y^2 = 4(6)x$.Therefore,the equation of the parabola is $y^2 = 24x$.

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

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The equation of the parabola whose focus is $(6,0)$ and directrix is $x=-6$ is

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A
$y^2=24x$
B
$y^2=-24x$
C
$x^2=24y$
D
$x^2=-24y$

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10-2. Parabola, Ellipse, Hyperbola

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