1
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$f(x)=\frac{1-\sin x+\cos x}{1+\sin x+\cos x}$$, for $$x \neq \pi$$ is continuous at $$x=\pi$$, then the value of $$f(\pi)$$ is

A
$$\frac{-1}{2}$$
B
$$-1$$
C
1
D
$$\frac{1}{2}$$
2
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

140. Given that total of 16 values is 528 and sum of the squares of deviation from 33 is 9158. The variance is

A
562.73
B
570.375
C
574.375
D
572.375
3
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\lim _\limits{x \rightarrow 1}\left[\frac{\sqrt{x}-1}{\log x}\right]=$$

A
$$\frac{1}{2}$$
B
2
C
$$-2$$
D
$$-\frac{1}{2}$$
4
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the surrounding air is kept at $$25^{\circ} \mathrm{C}$$ and a body cools from $$80^{\circ} \mathrm{C}$$ to $$50^{\circ} \mathrm{C}$$ in 30 minutes, then temperature of the body after one hour will be

A
$$31.72^{\circ} \mathrm{C}$$ approximately
B
$$34.74^{\circ} \mathrm{C}$$ approximately
C
$$32.36^{\circ} \mathrm{C}$$ approximately
D
$$36.36^{\circ} \mathrm{C}$$ approximately
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