1
MHT CET 2020 19th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $2 \cos ^2 \theta+3 \cos \theta=2$, then permissible value of $\cos \theta$ is

A
0
B
$\frac{1}{2}$
C
1
D
$\frac{-1}{2}$
2
MHT CET 2020 19th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

A line makes angles $\alpha, \beta, \gamma$ with the co-ordinate axes and $\alpha+\beta=90^{\circ}$, then $\gamma=$

A
$30^{\circ}$
B
$90^{\circ}$
C
$60^{\circ}$
D
$45^{\circ}$
3
MHT CET 2020 19th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equations of planes parallel to the plane $x+2 y+2 z+8=0$, which are at a distance of 2 units from the point $(1,1,2)$ are

A
$x+2 y+2 z-5=0$ or $x+2 y+2 z-3=0$
B
$x+2 y+2 z-6=0$ or $x+2 y+2 z-7=0$
C
$x+2 y+2 z-13=0$ or $x+2 y+2 z-1=0$
D
$x+2 y+2 z+3=0$ or $x+2 y+2 z-5=0$
4
MHT CET 2020 19th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $X$ is a.r.v. with c.d.f $F(x)$ and its probability distribution is given by

$X=x$ $-1.5$ $-0.5$ 0.5 1.5 2.5
$P(X=x)$ 0.05 0.2 0.15 0.25 0.35

then, $F(1.5)-F(-0.5)=$

A
0.2
B
0.4
C
0.1
D
0.3
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