First slide

Parabola

Question

Equation of a family of circles passing through
the extremities of the latus rectum of the parabola
$y^{2} = 4 a x, g$ being a parametric, is

Moderate

A

$x^{2} + y^{2} + 2 g (y - 2 a) - 5 a^{2} = 0$
B

$x^{2} + y^{2} + 2 g (x + a) - 5 a^{2} = 0$
C

$x^{2} + y^{2} + 2 g (x - a) - ∣ 5 a^{2} = 0$
D

$x^{2} + y^{2} + 2 g (y + 2 a) - 5 a^{2} = 0$

Solution

Taking $x = a$ in $(c)$ we get $y = \pm 2 a$ for all values
of $g$ .

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