1
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
$$(\sqrt{2}, 2)$$
2
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
$$\frac{\theta}{2}$$
3
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
4
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
$$x+\sqrt{2} y-2 \sqrt{2}=0$$
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