1
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If slope of a tangent to the curve $$x y+a x+b y=0$$ at the point $$(1,1)$$ on it is 2, then a - b is

A
3
B
1
C
2
D
$$-$$1
2
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation $$x^3+x-1=0$$ has

A
no real root.
B
exactly two real roots.
C
exactly one real root.
D
all three real roots.
3
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The range of values of $$x$$ for which $$f(x)=x^3+6 x^2-36 x+7$$ is increasing in

A
$$(-\infty,-6) \cup(2, \infty)$$
B
$$(-6,2)$$
C
$$(-\infty,-2) \cup(6, \infty)$$
D
$$(-6,2]$$
4
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The maximum value of the function $$f(x)=3 x^3-18 x^2+27 x-40$$ on the set $$\mathrm{S}=\left\{x \in \mathbb{R} / x^2+30 \leq 11 x\right\}$$ is

A
122
B
132
C
112
D
222
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