1
MHT CET 2023 11th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The slope of the tangent to a curve $$y=\mathrm{f}(x)$$ at $$(x, \mathrm{f}(x))$$ is $$2 x+1$$. If the curve passes through the point $$(1,2)$$, then the area (in sq. units), bounded by the curve, the $$\mathrm{X}$$-axis and the line $$x=1$$, is

A
$$\frac{3}{2}$$
B
$$\frac{4}{3}$$
C
$$\frac{5}{6}$$
D
$$\frac{1}{12}$$
2
MHT CET 2023 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The area of the region bounded by the parabola $$y=x^2$$ and the curve $$y=|x|$$ is

A
$$\frac{1}{2}$$ sq. units
B
$$\frac{1}{3}$$ sq. units
C
$$\frac{1}{4}$$ sq. units
D
$$\frac{1}{6}$$ sq. units
3
MHT CET 2023 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The area bounded by the $$\mathrm{X}$$-axis and the curve $$y=x(x-2)(x+1)$$ is

A
$$\frac{37}{12}$$ sq. units
B
$$\frac{27}{12}$$ sq. units
C
$$\frac{37}{4}$$ sq. units
D
$$\frac{27}{13}$$ sq. units
4
MHT CET 2023 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Area of the region bounded by the curve $$y=\sqrt{49-x^2}$$ and $$\mathrm{X}$$-axis is

A
$$49 \pi$$ sq. units
B
$$\frac{49 \pi}{2}$$ sq. units
C
$$\frac{49 \pi}{4}$$ sq. units
D
$$98 \pi$$ sq. units
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