1
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the acute angle between the lines given by $$\mathrm{a x^2+2 h x y+b y^2=0}$$ is $$\frac{\pi}{4}$$, then $$\mathrm{4 h^2=}$$

A
$$(a+2 b)(a+3 b)$$
B
$$a^2+4 a b+b^2$$
C
$$a^2+6 a b+b^2$$
D
$$(a-2 b)(2 a+b)$$
2
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The joint equation of the pair of lines through the origin and making an equilateral triangle with the line $$x=3$$ is

A
$$3 x^2-y^2=0$$
B
$$\sqrt{3} x^2-2 x y+y^2=0$$
C
$$x^2-3 y^2=0$$
D
$$x^2+2 x y-\sqrt{3} y^2=0$$
3
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The slope of the line through the origin which makes an angle of 30$$^\circ$$ with the positive direction of Y-axis measured anticlockwise is :

A
$${{ - 2} \over {\sqrt 3 }}$$
B
$$- \sqrt 3$$
C
$${{\sqrt 3 } \over 2}$$
D
$${{ - 1} \over {\sqrt 3 }}$$
4
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the equation $$k x y+5 x+3 y+2=0$$ represents a pair of lines, then $$k=$$

A
$$\frac{15}{2}$$
B
15
C
$$0,-\frac{15}{2}$$
D
$$1, \frac{15}{2}$$
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