1
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
$$x^2+2 x y-\sqrt{3} y^2=0$$
2
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
$${{ - 1} \over {\sqrt 3 }}$$
3
MHT CET 2020 19th October 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
$3: 5$
B
$16: 15$
C
$5: 3$
D
$15: 16$
4
MHT CET 2020 19th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of a line passing through the point $(7,-4)$ and perpendicular to the line passing through the points $(2,3)$ and $(1,-2)$ is

A
$x+5 y+13=0$
B
$x-2 y-15=0$
C
$x-5 y-13=0$
D
$x+2 y+1=0$
MHT CET Subjects
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