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

The point $P$ lies on the line $A, B$ where $A=(2,4,5)$ and $B \equiv(1,2,3)$. If $z$ co-ordinate of point $P$ is 3 , the its $y$ co-ordinate is

A
3
B
$-$3
C
2
D
$-$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

The equation of a plane containing the point $(1,-1,2)$ and perpendicular to the planes $2 x+3 y-2 z=5$ and $x+2 y-3 z=8$ is

A
$r(4 \hat{\mathbf{i}}-5 \hat{\mathbf{j}}+3 \hat{\mathbf{k}})=15$
B
$\mathbf{r}(5 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}+2 \hat{\mathbf{k}})=5$
C
$\mathbf{r}(5 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}-\hat{\mathbf{k}})=5$
D
$\mathbf{r}(5 \hat{\mathbf{i}}-4 \hat{\mathbf{j}}-\hat{\mathbf{k}})=7$
MHT CET Subjects
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12