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1
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The point of intersection of the diagonals of the rectangle whose sides are contained in the lines $x=8, x=10, y=11$ and $y=12$ is
A
$\left(\frac{9}{2}, 23\right)$
B
$\left(9, \frac{23}{2}\right)$
C
$\left(7, \frac{21}{2}\right)$
D
$\left(\frac{7}{2}, 21\right)$
2
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $m_1$ and $m_2$ are the slopes of the lines represented by $a x^2+2 h x y+b y^2=0$ satisfying the condition $16 \mathrm{~h}^2=25 \mathrm{ab}$, then ............ .
A
$\mathrm{m}_1=\mathrm{m}_2^2$
B
$m_1=4 m_2$
C
$\left|m_1-m_2\right|=2$
D
$\mathrm{m}_1 \mathrm{~m}_2=1$
3
MHT CET 2024 16th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The co-ordinates of the foot of perpendicular, drawn from the point $(-2,3)$ on the line $3 x-y-1=0$ are

A
$(-1,2)$
B
$(1,-2)$
C
$(-1,-2)$
D
$(1,2)$
4
MHT CET 2024 16th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $P_1$ and $P_2$ are perpendicular distances (in units) from point $(2,-1)$ to the pair of lines $2 x^2-5 x y+2 y^2=0$, then the value of $\mathrm{P}_1 \mathrm{P}_2$ is

A
,2
B
5
C
10
D
4
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