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

The equation of a line, whose perpendicular distance from the origin is 7 units and the angle, which the perpendicular to the line from the origin makes, is $$120^{\circ}$$ with positive $$\mathrm{X}$$-axis, is

A
$$x+\sqrt{3} y-14=0$$
B
$$x+\sqrt{3} y+14=0$$
C
$$x-\sqrt{3} y+14=0$$
D
$$x-\sqrt{3} y-14=0$$
2
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
$$\frac{9}{5}$$
3
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
4
MHT CET 2021 21th September Evening Shift
+2
-0

If $$\mathrm{(m+3 n)(3 m+n)=4 h^2}$$, then the acute angle between the lines represented by $$\mathrm{m x^2+2 h x y+n y^2=0}$$ is

A
$$\frac{\pi^{\mathrm{c}}}{3}$$
B
$$\frac{\pi^{\mathrm{c}}}{6}$$
C
$$\tan ^{-1}\left(\frac{3}{2}\right)$$
D
$$\tan ^{-1}\left(\frac{1}{2}\right)$$
MHT CET Subjects
Physics
Mechanics
Optics
Electromagnetism
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Calculus
Coordinate Geometry
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