1
MHT CET 2021 24th September Evening Shift
+2
-0

The acute angle between the lines $$\left(x^2+y^2\right) \sin \theta+2 x y=0$$ is

A
$$\theta$$
B
$$\frac{\pi}{2}+\theta$$
C
$$\frac{\pi}{2}-\theta$$
D
$$\frac{\theta}{2}$$
2
MHT CET 2021 24th September Evening Shift
+2
-0

If the lines represented by $$(k^2+2) x^2+3 x y-6 y^2=0$$ are perpendicular to each other, then the values of $$\mathrm{K}$$ are

A
$$\pm$$3
B
$$\pm$$4
C
$$\pm$$1
D
$$\pm$$2
3
MHT CET 2021 24th September Evening Shift
+2
-0

The equation of a line with slope $$-\frac{1}{\sqrt{2}}$$ and makes an intercept of $$2 \sqrt{2}$$ units on negative direction of $$y$$-axis is

A
$$\sqrt{2} y-x+4=0$$
B
$$x+\sqrt{2} y+2 \sqrt{2}=0$$
C
$$\sqrt{2} y+x+4=0$$
D
$$x+\sqrt{2} y-2 \sqrt{2}=0$$
4
MHT CET 2021 24th September Morning Shift
+2
-0

If the lines respresented by $$a x^2-b x y-y^2=0$$ make angle $$\alpha$$ and $$\beta$$ with the positive direction of $$\mathrm{X}$$-axis, then $$\tan (\alpha+\beta)=$$

A
$$\frac{a}{a+b}$$
B
$$\frac{b}{1+b}$$
C
$$\frac{b}{1+a}$$
D
$$\frac{-b}{1+a}$$
EXAM MAP
Medical
NEET