1
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

Identify the molecule having dipole moment.

A
BF$$_3$$
B
CCl$$_4$$
C
CHCl$$_3$$
D
CH$$_4$$
2
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

Identify homoleptic complex from following.

A
$$\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{3+}$$
B
$$\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_5 \mathrm{Cl}\right] \mathrm{SO}_4$$
C
$$\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_4 \mathrm{Cl}_2\right]^{+}$$
D
$$\left[\mathrm{Co}\left(\mathrm{H}_2 \mathrm{O}\right)\left(\mathrm{NH}_3\right)_5\right] \mathrm{I}_3$$
3
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

Let

$$\begin{aligned} f(x) & =x+a \sqrt{2} \sin x & & , 0 \leq x<\frac{\pi}{4} \\ & =2 x \cot x+b & & \frac{\pi}{4} \leq x<\frac{\pi}{2} \\ & =a \cos 2 x-b \sin x & & \frac{\pi}{2} \leq x \leq \pi \end{aligned}$$

If $$\mathrm{f}(\mathrm{x})$$ is continuous for $$0 \leq \mathrm{x} \leq \pi$$, then

A
$$a=\frac{\pi}{6}, b=\frac{\pi}{12}$$
B
$$\mathrm{a}=\frac{-\pi}{6}, \mathrm{~b}=\frac{-\pi}{12}$$
C
$$a=\frac{-\pi}{6}, b=\frac{\pi}{12}$$
D
$$a=\frac{\pi}{6}, b=\frac{-\pi}{12}$$
4
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The area of triangle with vertices $$(1,2,0),(1,0, a)$$ and $$(0,3,1)$$ is $$\sqrt{6}$$ sq. units, then the values of '$$a$$' are

A
$$-8,1$$
B
$$2,-4$$
C
$$-2,4$$
D
$$8,-1$$
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