y^2 - 2x - 2y + 5 = 0 represents - Vidyadip

MCQ

${y^2} - 2x - 2y + 5 = 0$ represents

A
A circle whose centre is $(1, 1)$
B
A parabola whose focus is $(1, 2)$
✓
A parabola whose directrix is $x = \frac{3}{2}$
D
A parabola whose directrix is $x = - \frac{1}{2}$

✓

Answer

Correct option: C.

A parabola whose directrix is $x = \frac{3}{2}$

c
(c)The equation can be written as ${(y - 1)^2} = 2(x - 2)$.

Obviously, it is a parabola whose focus is $\left( {\frac{5}{2},1} \right)$ and directrix

is $x = \frac{3}{2}$.

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