1
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the equation $$3x^2-kxy-3y^2=0$$ represents the bisectors of angles between the lines $$x^2-3xy-4y^2=0$$, then value of k is

A
$$-6$$
B
$$-10$$
C
6
D
10
2
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The general solution of $$\left(x \frac{d y}{d x}-y\right) \sin \frac{y}{x}=x^3 e^x$$ is

A
$$e^x(x-1)+\cos \frac{y}{x}+c=0$$
B
$$x e^x+\cos \frac{y}{x}+c=0$$
C
$$e^x(x+1)+\cos \frac{y}{x}+c=0$$
D
$$e x^x-\cos \frac{y}{x}+c=0$$
3
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The area bounded by the parabola $$y=x^2$$ and the line $$y=x$$ is

A
$$\frac{1}{2}$$ sq. units
B
$$\frac{1}{3}$$ sq. units
C
$$\frac{2}{3}$$ sq. units
D
$$\frac{1}{6}$$ sq. units
4
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$y=\sin ^{-1}\left[\cos \sqrt{\frac{1+x}{2}}\right]+x^x$$, then $$\frac{d y}{d x}$$ at $$x=1$$ is

A
$$\frac{5}{4}$$
B
$$\frac{-1}{4}$$
C
$$\frac{3}{4}$$
D
$$\frac{-5}{4}$$
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