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

A straight line L through the point $(3,-2)$ is inclined at an angle of $60^{\circ}$ to the line $\sqrt{3} x+y=1$. If L also intersects the X -axis, then the equation of $L$ is

A
$y+\sqrt{3} x+2-3 \sqrt{3}=0$
B
$y-\sqrt{3} x+2+3 \sqrt{3}=0$
C
$\sqrt{3} y-x+3+2 \sqrt{3}=0$
D
$\sqrt{3} y+x-3+2 \sqrt{3}=0$
2
MHT CET 2024 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The joint equation of two lines through the origin, each making an angle with measure of $30^{\circ}$ with the positive Y -axis, is

A
$x^2-3 y^2=0$
B
$2 x^2-3 y^2=0$
C
$3 x^2-y^2=0$
D
$x^2+3 y^2=0$
3
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
$\frac{4}{27}$
4
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
$\sqrt{3} x+y=0$
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