1
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
$$x+\sqrt{2} y-2 \sqrt{2}=0$$
2
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
$$\frac{-b}{1+a}$$
3
MHT CET 2021 24th September Morning Shift
+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 $$-3$$
4
MHT CET 2021 24th September Morning Shift
+2
-0

If one of the lines given by $$k x^2+x y-y^2=0$$ bisect the angle between the co-ordinate axes then the values of $$k$$ are

A
1 and 2
B
0 and 2
C
0 and $$-$$2
D
$$-$$1 and 2
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