1
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The rate at which the population of a city increases varies as the population. In a period of 20 years, the population increased from 4 lakhs to 6 lakhs. In another 20 years the population will be

A
8 lakhs
B
12 lakhs
C
9 lakhs
D
10 lakhs
2
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $\bar{a}=\hat{i}+\hat{j}+\hat{k}, \bar{b}=\hat{j}-\hat{k}$ then a vector $\bar{c}$ such that $\overline{\mathrm{a}} \times \overline{\mathrm{c}}=\overline{\mathrm{b}}$ and $\overline{\mathrm{a}} \cdot \overline{\mathrm{c}}=3$ is

A
$\frac{5}{3} \hat{\mathrm{i}}+\frac{2}{3} \hat{\mathrm{j}}+\frac{2}{3} \hat{\mathrm{k}}$
B
$\hat{\mathrm{i}}-2 \hat{\mathrm{j}}+4 \hat{\mathrm{k}}$
C
$\hat{\mathrm{i}}+2 \hat{\mathrm{k}}$
D
$\quad 2 \hat{i}-3 \hat{j}+4 \hat{k}$
3
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The solution set of the constraints $|x-y| \leq 1, x, y \geq 0$ is
A
a finite set
B
an unbounded set
C
a convex polygon
D
such that feasible region does not exist
4
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The lines $\frac{x-0}{1}=\frac{y-2}{2}=\frac{z+3}{\lambda}$ and $\frac{x-2}{2}=\frac{y-6}{3}=\frac{z-3}{\lambda}$ are coplanar and $p$ is the plane containing these lines, then which of following point does not lie on the plane.

A
$(1,6,4)$
B
$(2,8,7)$
C
$(1,2,3)$
D
$(4,10,9)$
MHT CET Papers
EXAM MAP