1
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

Identify the product formed when benzoyl chloride is reduced by hydrogen using palladium catalyst poisoned with barium sulphate?

A
Chlorobenzene
B
Benzyl alcohol
C
Benzene
D
Benzaldehyde
2
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\mathrm{(m+3 n)(3 m+n)=4 h^2}$$, then the acute angle between the lines represented by $$\mathrm{m x^2+2 h x y+n y^2=0}$$ is

A
$$\frac{\pi^{\mathrm{c}}}{3}$$
B
$$\frac{\pi^{\mathrm{c}}}{6}$$
C
$$\tan ^{-1}\left(\frac{3}{2}\right)$$
D
$$\tan ^{-1}\left(\frac{1}{2}\right)$$
3
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\text{I} : y^{\prime}=\frac{y+x}{x} ; \quad \text { II }: y^{\prime}=\frac{x^2+y}{x^3} ; \quad \text { III }: y^{\prime}=\frac{2 x y}{y^2-x^2}$$

S1 : Differential equations given by I and II are homogeneous differential equations.

S2 : Differential equations given by II and III are homogeneous differential equations.

S3 : Differential equations given by I and III are homogeneous differential equations.

A
only S1 is valid
B
both S1 and S2 are valid
C
only S3 is valid
D
only S2 is valid.
4
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The differential equation of the family of circles touching $$y$$-axis at the origin is

A
$$x^2-y^2-2 x y \frac{d y}{d x}=0$$
B
$$x^2-y^2+2 x y \frac{d y}{d x}=0$$
C
$$x^2+y^2-2 x y \frac{d y}{d x}=0$$
D
$$x^2+y^2+2 x y \frac{d y}{d x}=0$$
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