1
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
$$2 x-y=0$$
2
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

The points on the $$x$$-axis whose perpendicular distance from the line $$\frac{x}{3}+\frac{y}{4}=1$$ is 4 units are

A
$$(8,0)$$ and $$(-2,0)$$
B
$$(-8,0)$$ and $$(-2,0)$$
C
$$(8,0)$$ and $$(2,0)$$
D
$$(-8,0)$$ and $$(2,0)$$
3
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

The side of a cube is equal to the diameter of a sphere. If the side and radius increase at the same rate then the ratio of the increase of their surface area is

A
$$3: \pi$$
B
$$\pi: 6$$
C
$$2 \pi: 3$$
D
$$3: 2 \pi$$
4
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

Suppose we have three cards identical in form except that both sides of the first card are coloured red, both sides of the second are coloured black, and one side of the third card is coloured red and the other side is coloured black. The three cards are mixed and a card is picked randomly. If the upper side of the chosen card is coloured red, what is the probability that the other side is coloured black.

A
$$\frac{1}{6}$$
B
$$\frac{1}{2}$$
C
0
D
$$\frac{1}{3}$$
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