1
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+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
2
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+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
$$x+\sqrt{2} y-2 \sqrt{2}=0$$
3
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+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
$$\frac{-b}{1+a}$$
4
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the angle between the lines is $$\frac{\pi^{\mathrm{C}}}{4}$$ and slope of one of the lines is $$\frac{1}{2}$$, then slope of the other line is

A
3 or $$-\frac{1}{3}$$
B
4 or $$-\frac{1}{4}$$
C
2 or $$-\frac{1}{2}$$
D
3 or $$-3$$
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