1
MHT CET 2024 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the slope of one of the lines given by $\mathrm{K} x^2+6 x y+y^2=0$ is three times the order, then the value of $K$ is

A
$\frac{9}{4}$
B
$\frac{4}{9}$
C
$\frac{27}{4}$
D
$\frac{4}{27}$
2
MHT CET 2024 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Let $\mathrm{P} \equiv(-5,0), \mathrm{Q} \equiv(0,0)$ and $\mathrm{R} \equiv(2,2 \sqrt{3})$ be three points. Then the equation of the bisector of the angle $P Q R$ is

A
$x-\frac{\sqrt{3}}{2} y=0$
B
$\frac{\sqrt{3}}{2} x-y=0$
C
$x+\sqrt{3} y=0$
D
$\sqrt{3} x+y=0$
3
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
$x+y+4=0$
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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