First slide

Parabola

Question

Equation of the line joining the foci of the parabolas
$y^{2} = 4 x$ and $x^{2} = - 4 y$

Moderate

A

$x + y - 1 = 0$
B

$x - y - 1 = 0$
C

$x - y + 1 = 0$
D

$x + y + 1 = 0$

Solution

Foci of the parabolas are $(1, 0)$ and $(0, - 1)$ and the equation of the line
joining them is $y = x - 1$ or $x - y - 1 = 0$

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