1
MHT CET 2021 20th September Morning Shift
+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
$${{ - 1} \over {\sqrt 3 }}$$
2
MHT CET 2020 16th October Evening Shift
+2
-0

If the equation $$a x^2+2 h x y+b y^2+2 g x+2 f y=0$$ has one line as the bisector of the angle between co-ordinate axes, then

A
$$(a+b)^2=4\left(h^2+f^2\right)$$
B
$$(a+b)^2=4\left(h^2+g^2+f^2\right)$$
C
$$(a+b)^2=4 h^2$$
D
$$(a+b)^2=4\left(h^2+g^2\right)$$
3
MHT CET 2020 16th October Evening Shift
+2
-0

The straight lines represented by the equation $$9 x^2-12 x y+4 y^2=0$$ are

A
coincident
B
perpendicular
C
intersect at $$60^{\circ}$$
D
parallel
4
MHT CET 2020 16th October Morning Shift
+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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