1
MHT CET 2024 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The function $\mathrm{f}(x)=2 x^3-6 x+5$ is an increasing function, if

A
$0< x<1$
B
$-1< x<1$
C
$x<-1$ or $x>1$
D
$-1< x<-\frac{1}{2}$
2
MHT CET 2024 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

A square plate is contracting at the uniform rate $3 \mathrm{~cm}^2 / \mathrm{sec}$, then the rate at which the perimeter is decreasing, when the side of the square is 15 cm , is

A
$\frac{1}{5} \mathrm{~cm} / \mathrm{sec}$
B
$\frac{2}{5} \mathrm{~cm} / \mathrm{sec}$
C
$\frac{1}{10} \mathrm{~cm} / \mathrm{sec}$
D
$\frac{3}{10} \mathrm{~cm} / \mathrm{sec}$
3
MHT CET 2024 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

A poster is to be printed on a rectangular sheet of paper of area $18 \mathrm{~m}^2$. The margins at the top and bottom of 75 cm each and at the sides 50 cm each are to be left. Then the dimensions i.e. height and breadth of the sheet so that the space available for printing is maximum, are _______ respectively.

A
$2 \sqrt{3} \mathrm{~m}, 3 \sqrt{3} \mathrm{~m}$
B
$3 \sqrt{3} \mathrm{~m}, 2 \sqrt{3} \mathrm{~m}$
C
$3 \mathrm{~m}, 6 \mathrm{~m}$
D
$6 \mathrm{~m}, 3 \mathrm{~m}$
4
MHT CET 2024 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of the tangent to the curve $x=\operatorname{acos}^3 \theta, y=\operatorname{asin}^3 \theta$ at $\theta=\frac{\pi}{4}$ is

A
$x+y=\frac{\mathrm{a}}{\sqrt{2}}$
B
$x+y=\frac{a}{2}$
C
$x+y=\frac{a}{2 \sqrt{2}}$
D
$x+y=\frac{\mathrm{a}}{8}$
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