1
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+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
$$x^2+2 x y-y^2=0$$
2
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+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
$$1: 3$$
3
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The distance between the lines $$3 x+4 y=9$$ and $$6 x+8 y=15$$ is

A
5 units
B
3 units
C
0.3 units
D
0.5 units
4
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the slopes of the lines given by the equation $$a x^2+2 h x y+b y^2=0$$ are in the ratio $$5: 3$$, then the ratio $$h^2: a b=$$

A
$$15: 16$$
B
$$5: 3$$
C
$$3: 5$$
D
$$16: 15$$
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