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Q.

Equation of parabola whose vertex is (1, –2) and slope of axis is undefined and latusrectum 4 are

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a

${(x - 1)}^{2} = \pm 4 (y + 2)$

b

${(y + 2)}^{2} = \pm 4 (x - 1)$

c

${(x - 1)}^{2} = \pm 16 (y + 2)$

d

${(y + 2)}^{2} = \pm 16 (x - 1)$

answer is C.

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Detailed Solution

$v = (1, - 2)$ slope of axes = $\infty$

$4 a = 4 a = 1$

Equation of parabola symmetric to y-axes

${(x - 1)}^{2} = \pm 4 (y + 2)$

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