1
MHT CET 2023 9th May Morning Shift
+2
-0

If the distance between the parallel lines given by the equation $$x^2+4 x y+p y^2+3 x+q y-4=0$$ is $$\lambda$$, then $$\lambda^2=$$

A
5
B
$$\sqrt{5}$$
C
25
D
$$\frac{9}{5}$$
2
MHT CET 2023 9th May Morning Shift
+2
-0

The distance of a point $$(2,5)$$ from the line $$3 x+y+4=0$$ measured along the line $$L_1$$ and $$L_1$$ are same. If slope of line $$L_1$$ is $$\frac{3}{4}$$, then slope of the line $$\mathrm{L}_2$$ is

A
$$-\frac{3}{4}$$
B
$$\frac{1}{3}$$
C
$$\frac{1}{4}$$
D
0
3
MHT CET 2022 11th August Evening Shift
+2
-0

The joint equation of pair of lines through the origin and making an equilateral triangle with the line $$y = 5$$ is

A
$$x^2-3 y^2=0$$
B
$$\sqrt{3} x^2-y^2=0$$
C
$$3 x^2-y^2=0$$
D
$$5 x^2-y^2=0$$
4
MHT CET 2022 11th August Evening Shift
+2
-0

The equations of the lines passing through the point $$(3,2)$$ and making an acute angle of $$45^{\circ}$$ with the line $$x-2 y-3=0$$ are

A
$$3 x+y-11=0, x+3 y+9=0$$
B
$$3 x-y-7=0, x+3 y-9=0$$
C
$$3 x+y-11=0, x+3 y-9=0$$
D
$$x+2 y-7=0,2 x-y-4=0$$
EXAM MAP
Medical
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