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

If $\lim\limits_{x \rightarrow \infty}\left(\frac{x^2+x+1}{x+1}-a x-b\right)=4$ then

A
$\mathrm{a}=1, \mathrm{~b}=4$
B
$\mathrm{a}=1, \mathrm{~b}=-4$
C
$\mathrm{a}=2, \mathrm{~b}=-3$
D
$\mathrm{a}=2, \mathrm{~b}=3$
2
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $y=y(x)$ is the solution of the differential equation $x \frac{\mathrm{dy}}{\mathrm{d} x}+2 y=x^2$ satisfying $y(1)=1$, then the value of $y\left(\frac{1}{2}\right)$ is

A
$\frac{7}{64}$
B
  $\frac{1}{4}$
C
$\frac{13}{6}$
D
$\frac{49}{16}$
3
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The value of $\cos ^{-1}\left\{\frac{1}{\sqrt{2}}\left(\cos \frac{9 \pi}{10}-\sin \frac{9 \pi}{10}\right)\right\}$ is

A
$\frac{7 \pi}{20}$
B
$\frac{13 \pi}{20}$
C
$\frac{17 \pi}{20}$
D
$\frac{21 \pi}{20}$
4
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Consider the statements given by following :

(A) If $3+3=7$, then $4+3=8$.

(B) If $5+3=8$, then earth is flat.

(C) If both (A) and (B) are true, then $5+6=17$.

Then which of the following statements is correct?

A
(A) is true while (B) and (C) are false.
B
(A) and (C) are true while (B) is false.
C
(A) and (B) are false, while (C) is true.
D
(A) is false but (B) and (C) are true.
MHT CET Papers
EXAM MAP