1
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The perpendicular distance of a line from the origin is 5 units and its slope is $$-1$$. The equation of the line is

A
$$x+y \pm 5 \sqrt{2}=0$$
B
$$x-y \pm 2 \sqrt{5}=0$$
C
$$x+y \pm 2 \sqrt{5}=0$$
D
$$x-y \pm 5 \sqrt{2}=0$$
2
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

Given $$a, b, c$$ are three unequal numbers such that $$\mathrm{b}$$ is arithmetic mean of $$a$$ and $$c$$ and $$(b-a),(c-b), a$$ are in geometric progression. Then $$a: b: c$$ is

A
$$2: 3: 5$$
B
$$1: 2: 4$$
C
$$1: 2: 3$$
D
$$1: 3: 5$$
3
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { If } y=\log _e\left(\frac{x^2}{e^2}\right) \text {, then } \frac{d^2 y}{d x^2} \text { is equal to } $$

A
$$ -\frac{2}{x^2} $$
B
$$ -\frac{1}{x} $$
C
$$ -\frac{1}{x^2} $$
D
$$ \frac{2}{x^2} $$
4
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The equation of a circle passing through the origin is $$x^2+y^2-6 x+2 y=0$$. The equation of one of its diameter is

A
$$3 x-y=0$$
B
$$x+y=0$$
C
$$x-3 y=0$$
D
$$x+3 y=0$$
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