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

The turning point of the function $$y=\frac{a x-b}{(x-1)(x-4)}$$ at the point $$P(2,-1)$$ is

A
neither a maximum nor a minimum
B
both maximum and a minimum
C
a minimum
D
a maximum
2
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
$$3: 2 \pi$$
3
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

What is the nature of the function $$f(x)=x^3-3 x^2+4 x$$ on real numbers?

A
Strictly decreasing
B
Decreasing
C
Increasing
D
Constant
4
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The slope of the tangent to the curve, $$y=x^2-x y$$ at $$\left(1, \frac{1}{2}\right)$$ is

A
$$\frac{4}{3}$$
B
$$\frac{2}{3}$$
C
$$\frac{3}{4}$$
D
$$\frac{3}{2}$$
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