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

Which among following is an example of cyclic amide?

A
PAN
B
Terylene
C
$$ \varepsilon \text {-caprolactam } $$
D
Teflon
2
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\int_\limits0^4 x[x] d x=$$ (where $$[\mathrm{x}]$$ denotes greatest integer function not greater than $$\mathrm{x}]$$

A
17
B
24
C
$$\frac{21}{2}$$
D
$$\frac{33}{2}$$
3
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\lim _\limits{x \rightarrow 1} \frac{a b^x-a^x b}{x^2-1}=$$

A
$$\frac{-a b}{2} \log \left(\frac{b}{a}\right)$$
B
$$\frac{\mathrm{ab}}{2} \log \left(\frac{\mathrm{b}}{\mathrm{a}}\right)$$
C
ab $$\log \left(\frac{\mathrm{b}}{\mathrm{a}}\right)$$
D
$$-\mathrm{ab} \log \left(\frac{\mathrm{b}}{\mathrm{a}}\right)$$
4
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The maximum area of the rectangle that can be inscribed in a circle of radius $$r$$ is

A
$$2 r^2$$ sq. units
B
$$\frac{\pi \pi^2}{4}$$ sq. units
C
$$\pi r^2$$ units
D
$$r^3$$ sq units
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