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

If the equation $\mathrm{k} x y+10 x+8 y+16=0$ represents a pair of lines, then

A
$\mathrm{k}=5$ only
B
$\mathrm{k}=0$ only
C
$\mathrm{k}=0$ or $\mathrm{k}=5$
D
the value of k does not exist
2
MHT CET 2025 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The acute angle between the diagonals of a parallelogram whose vertices are $\mathrm{A}(2,-1)$, $B(0,2), C(2,3)$ and $D(4,0)$ is

A
$\cot ^{-1} 2$
B
$\cot ^{-1}\left(\frac{1}{3}\right)$
C
$\tan ^{-1} 2$
D
$\tan ^{-1}\left(\frac{2}{3}\right)$
3
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
4
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
$1: 3$
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