1
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

Let the plane passing through point $(2,1,-1)$ containing line joining the points $(1,3,2)$ and $(1,2,1)$ makes intercepts $\mathrm{p}, \mathrm{q}, \mathrm{r}$ on co-ordinate axes, then $\mathrm{p}+\mathrm{q}+\mathrm{r}=$

A
0
B
3
C
2
D
-2
2
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$ \int \sqrt{x^2+3 x} d x= $$

A

$\sqrt{x^2+3 x}+\log \sqrt{x^2+3 x}+c$, where c is the constant of integration.

B

$\frac{2 x+3}{4} \sqrt{x^2+3 x}-\frac{9}{8} \log \left(x+\sqrt{x^2+3 x}\right)+c$, where c is the constant of integration.

C

$x \sqrt{x^2+3 x}+\log \left(x+\sqrt{x^2+3 x}\right)+\mathrm{c}$, where c is the constant of integration.

D

$x+3 \sqrt{x^2+3 x}+\frac{3}{2} \log \left(x+\sqrt{x^2+3 x}\right)+\mathrm{c}$, where c is the constant of integration.

3
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the line $a x+b y+c=0$ is normal to the curve $x y=1$, then

A
$\mathrm{a}>0, \mathrm{~b}>0$
B
$\quad a>0, b<0$
C
a $<0$, b $\geqslant 0$
D
a $<0$, b $<0$
4
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The sum of two nonzero numbers is 4 . The minimum value of the sum of their reciprocals is

A
$\frac{3}{4}$
B
$\frac{6}{5}$
C
1
D
4

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