Engineer & Medical

Parabola question bank (Maths)

Practice 719 free Engineer & Medical Maths - Parabola questions with answers and step-by-step solutions.

Q1.

Let P be the parabola, whose focus is $(-2,1)$ and directrix is $2 x+y+2=0$. Then the sum of the ordinates of the points on P , whose abscissa is -2 , is

(A)
$\frac{3}{2}$
(B)
$\frac{5}{2}$
(C)
$\frac{1}{4}$
(D)
$\frac{3}{4}$
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Q2.

The axis of a parabola is the line $y=x$ and its vertex and focus are in the first quadrant at distances $\sqrt{2}$ and $2 \sqrt{2}$ units from the origin, respectively. If the point $(1, \mathrm{k})$ lies on the parabola, then a possible value of $k$ is :-

(A)
$4$
(B)
$9$
(C)
$3$
(D)
$8$
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