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1
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of tangent to the curve $y=\cos (x+y)$ where $-2 \pi \leq x \leq 2 \pi$ and which is parallel to the line $x+2 y=0$, is

A
$2 x+4 y+\pi=0$
B
$2 x+4 y-\pi=0$
C
$2 x+4 y-3 \pi=0$
D
$2 x-4 y+3 \pi=0$
2
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If two curves $x^2-4 y^2=2$ and $8 x^2=40-\mathrm{m} y^2$ are orthogonal to each other then $\mathrm{m}=$

A
2
B
16
C
$\frac{1}{\sqrt{2}}$
D
4
3
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
A population $p(t)$ of 1000 bacteria introduced into a nutrient medium grows according to the relation $\mathrm{p}(\mathrm{t})=1000+\frac{1000 \mathrm{t}}{100+\mathrm{t}^2}$. The maximum size of this bacterial population is
A
1100
B
1250
C
1050
D
950
4
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
By dropping a stone in a quiet lake, a wave in the form of circle is generated. The radius of the circular wave increases at the rate of $2.1 \mathrm{~cm} / \mathrm{sec}$. Then the rate of increase of the enclosed circular region, when the radius of the circular wave is 10 cm , is (Given $\pi=\frac{22}{7}$)
A
$66 \mathrm{~cm}^2 /$ second
B
$122 \mathrm{~cm}^2 /$ second
C
$132 \mathrm{~cm}^2 /$ second
D
$110 \mathrm{~cm}^2 /$ second
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