1
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the length of the perpendicular to a line from the origin is $2 \sqrt{2}$ units, which makes an angle of $135^{\circ}$ with the X -axis, then the equation of line is

A
$x+y=4$
B
$x-y+4=0$
C
$x-y=4$
D
$x+y+4=0$
2
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

A spherical rain drop evaporates at a rate proportional to its surface area. If initially its radius is 3 mm and after 1 second it is reduced to 2 mm , then at any time t its radius is (where $0 \leq \mathrm{t}<3$)

A
$\mathrm{3+t}$
B
$3-\mathrm{t}$
C
$4-\mathrm{t}$
D
$1+\mathrm{t}$
3
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $\overline{\mathrm{a}}=2 \hat{i}+2 \hat{j}+3 \hat{k}, \bar{b}=-\hat{i}+2 \hat{j}+\hat{k}$ and $\bar{c}=3 \hat{i}+\hat{j}$ such that $\overline{\mathrm{b}}+\lambda \overline{\mathrm{a}}$ is perpendicular to $\overline{\mathrm{c}}$, then $\lambda$ is

A
  $\frac{1}{2}$
B
$\frac{1}{4}$
C
$\frac{1}{6}$
D
$\frac{1}{8}$
4
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The number of integer values of $m$, for which $x$-coordinate of the point of intersection of the lines $3 x+4 y=9$ and $y=m x+1$ is also an integer, is

A
2
B
0
C
4
D
1
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