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1
MHT CET 2025 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The distance between the lines represented by the equation $4 x^2+4 x y+y^2-6 x-3 y-4=0$ is

A
$\frac{1}{\sqrt{5}}$ units
B
$\frac{1}{5}$ units
C
$\sqrt{5}$ units
D
5 units
2
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

A straight line through the origin $O$ meets the line $3 y=10-4 x$ and $8 x+6 y+5=0$ at the points $A$ and B respectively. Then O divides the segment $A B$ in the ratio

A
$4: 1$
B
$2: 3$
C
$1: 5$
D
$1: 3$
3
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The perpendicular distance between the lines given by $(x-2 y+1)^2+\mathrm{k}(x-2 y+1)=0$ is $\sqrt{5}$, then $\mathrm{k}=$
A
5
B
2
C
4
D
6
4
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
$\left(\frac{7}{2}, 21\right)$
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