1
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$f(x)=2\{x\}+5 x$$, where $$\{x\}$$ is fractional part function, then $$f(-1.4)$$ is

A
8.2
B
$$-8.2$$
C
$$-5.8$$
D
$$-5$$
2
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The curve $$y=a x^3+b x^2+c x+5$$ touches $$X$$-axis at $$P(-2,0)$$ and cuts $$Y$$-axis at a point $$Q$$, where its gradient is 3, then

A
$$\mathrm{a}=\frac{1}{2}, \mathrm{~b}=\frac{3}{4}, \mathrm{c}=3$$
B
$$\mathrm{a}=\frac{1}{2}, \mathrm{~b}=\frac{-1}{4}, \mathrm{c}=-3$$
C
$$a=\frac{1}{2}, b=\frac{-3}{4}, c=-3$$
D
$$a=\frac{-1}{2}, b=\frac{-3}{4}, c=3$$
3
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The area of the region bounded by the curve $$y=2 x-x^2$$ and X-axis is

A
$$\frac{2}{3}$$ sq. units
B
$$\frac{4}{3}$$ sq. units
C
$$\frac{5}{3}$$ sq. units
D
$$\frac{8}{3}$$ sq. units
4
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of a line with slope $$-\frac{1}{\sqrt{2}}$$ and makes an intercept of $$2 \sqrt{2}$$ units on negative direction of $$y$$-axis is

A
$$\sqrt{2} y-x+4=0$$
B
$$x+\sqrt{2} y+2 \sqrt{2}=0$$
C
$$\sqrt{2} y+x+4=0$$
D
$$x+\sqrt{2} y-2 \sqrt{2}=0$$
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