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

If the equation $7 x^2-14 x y+p y^2-12 x+q y-4=0$ represents a pair of parallel lines then the value of $\sqrt{p^2+q^2-p q}$ is

A
$\sqrt{119}$
B
$\sqrt{107}$
C
$\sqrt{109}$
D
$\sqrt{108}$
2
MHT CET 2024 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The slopes of the lines given by $x^2+2 h x y+2 y^2=0$ are in the ratio $1: 2$, then $h$ is

A
$\frac{1}{2}$
B
$\frac{3}{2}$
C
$3$
D
$1$
3
MHT CET 2024 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If two lines $x+(a-1) y=1 \quad$ and $2 x+a^2 y=1(a \in R-\{0,1\})$ are perpendicular, then the distance of their point of intersection from the origin is

A
$\frac{2}{5}$
B
$\frac{\sqrt{2}}{5}$
C
$\frac{2}{\sqrt{5}}$
D
$\sqrt{\frac{2}{5}}$
4
MHT CET 2023 14th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

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

A
$$\frac{\sqrt{3}}{2} x+y=0$$
B
$$x+\sqrt{3} y=0$$
C
$$\sqrt{3} x+y=0$$
D
$$x+\frac{\sqrt{3}}{2} y=0$$
MHT CET Subjects
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