1
COMEDK 2025 Evening Shift
MCQ (Single Correct Answer)
+1
-0
The area of a triangle formed by the lines joining the vertex of the parabola $x^2=\lambda y$ to the ends of its latus rectum is 18 sq units then the value of $\lambda$ is
A
24
B
12
C
6
D
18
2
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

In the parabola $$y^2=4 a x$$ the length of the latus rectum is 6 units and there is a chord passing through its vertex and the negative end of the latus rectum. Then the equation of the chord is

A
$$x+2 y=0$$
B
$$2 x+y=0$$
C
$$x-2 y=0$$
D
$$2 x-y=0$$
3
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { The area (in sq units) enclosed by the parabola } y^2=8 x \text {, its latus-rectum and the } x \text {-axis is } $$

A
$$ \frac{16}{3} $$
B
$$ \frac{16 \sqrt{2}}{3} $$
C
$$ \frac{32}{3} $$
D
$$ \frac{8}{3} $$
4
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

The focus of the parabola is

A
$$\left( {{1 \over 3},{{ - 3} \over 2}} \right)$$
B
$$\left( {{{ - 1} \over 3},{3 \over 2}} \right)$$
C
$$\left( {{1 \over 3},{{ - 1} \over 2}} \right)$$
D
$$\left( {{1 \over 3},{3 \over 2}} \right)$$
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