1
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
2
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
$$5 x^2-y^2=0$$
3
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
$$x+2 y-7=0,2 x-y-4=0$$
4
MHT CET 2021 24th September Evening Shift
+2
-0

If the polar co-ordinates of a point are $$\left(2, \frac{\pi^{\mathrm{c}}}{4}\right)$$, then its Cartesian co-ordinates are

A
$$(\sqrt{2}, \sqrt{2})$$
B
$$(2,2)$$
C
$$(2, \sqrt{2})$$
D
$$(\sqrt{2}, 2)$$
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