1
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The function $$f(x)=\frac{\lambda \sin x+6 \cos x}{2 \sin x+3 \cos x}$$ is increasing, if

A
$$\lambda>2$$
B
$$\lambda<4$$
C
$$\lambda \geq 4$$
D
$$\lambda>1$$
2
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$f(x)=x^2+a x+b$$ has minima at $$x=3$$ whose value is 5 , then the values of $$a$$ and $$b$$ are respectively.

A
$$-6,-14$$
B
$$-6,14$$
C
$$14,-6$$
D
$$6,14$$
3
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The area bounded by the parabola $$y^2=x$$ and the line $$x+y=2$$ in the first quadrant is

A
$$\frac{7}{6}$$ sq. units
B
$$\frac{1}{6}$$ sq. units
C
$$\frac{2}{3}$$ sq. units
D
$$\frac{6}{7}$$ sq. units
4
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$2 \cos \theta=x+\frac{1}{x}$$, then $$2 \cos 3 \theta=$$

A
$$x^3-\frac{1}{x^3}$$
B
$$\left(x+\frac{1}{x}\right)^3$$
C
$$x+\frac{1}{x}$$
D
$$x^3+\frac{1}{x^3}$$
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