1
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 $$-3$$
2
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
3
MHT CET 2021 23rd September Evening Shift
+2
-0

The joint equation of pair of lines through the origin and having slopes $$(1+\sqrt{2})$$ and $$\frac{1}{(1+\sqrt{2})}$$ is

A
$$x^2+2 x y+y^2=0$$
B
$$x^2-2 \sqrt{2} x y-y^2=0$$
C
$$x^2-2 \sqrt{2} x y+y^2=0$$
D
$$x^2+2 x y-y^2=0$$
4
MHT CET 2021 23rd September Evening Shift
+2
-0

If $$4 a b=3 h^2$$, then the ratio of slopes of the lines represented by $$a x^2+2 h x y+b y^2=0$$ is

A
$$\sqrt{2}: 1$$
B
$$2: 1$$
C
$$\sqrt{3}: 1$$
D
$$1: 3$$
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