1
MHT CET 2024 11th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The curve $y=a x^3+b x^2+c x+5$ touches the X - axis at $(-2,0)$ and cuts the Y -axis at a point Q where its gradient is 3 , then values of $a, b, c$ respectively, are

A
$3,-\frac{1}{2},-\frac{3}{4}$
B
$-\frac{3}{4},-\frac{1}{2}, 3$
C
$-\frac{1}{2},-\frac{3}{4}, 3$
D
$-\frac{1}{2}, 3,-\frac{3}{4}$
2
MHT CET 2024 11th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The maximum value of the function $\mathrm{f}(\mathrm{x})=2 \mathrm{x}^3-15 x^2+36 x-48$ on the set $A=\left\{x / x^2+20 \leq 9 x\right\}$ is

A
$-$16
B
$-$7
C
16
D
7
3
MHT CET 2024 11th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the normal to the curve $y=\mathrm{f}(x)$ at the point $(3,4)$ makes an angle of $\left(\frac{3 \pi}{4}\right)$ with the positive $X$-axis, then the value of $f^{\prime}(3)$ is

A
$-1$
B
$-\frac{3}{4}$
C
$\frac{4}{3}$
D
1
4
MHT CET 2024 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $\mathrm{f}(x)=x^3-6 x^2+9 x+3$ is monotonically decreasing function, then $x$ lies in

A
$(3, \infty)$
B
$(1,3)$
C
$[3, \infty)$
D
$[0,3]$
MHT CET Subjects
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12