1
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $G(3,-5, r)$ is centroid of triangle $A B C$ where $A(7,-8,1), B(p, q, 5)$ and $C(q+1,5 p, 0)$ are vertices of a triangle then values of $p, q, r$ are respectively ......

A
$6,5,4$
B
$-4,5,4$
C
$-3,4,3$
D
$-2,3,2$
2
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The angle between lines $\frac{x-2}{2}=\frac{y-3}{-2}=\frac{z-5}{1}$ and $\frac{x-2}{1}=\frac{y-3}{2}=\frac{z-5}{2}$ is ............

A
$30^{\circ}$
B
$60^{\circ}$
C
$45^{\circ}$
D
$90^{\circ}$
3
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the line passes through the points $P(6,-1,2), Q(8,-7,2 \lambda)$ and $R(5,2,4)$ then value of $\lambda$ is ...........

A
$-3$
B
0
C
$ -1$
D
2
4
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The co-ordinates of the foot of perpendicular drawn from origin to the plane $2 x-y+5 z-3=0$ are $\ldots \ldots$

A
$\left(\frac{2}{\sqrt{30}}, \frac{-1}{\sqrt{30}}, \frac{5}{\sqrt{30}}\right)$
B
$(2,-1,5)$
C
$\left(\frac{2}{3}, \frac{-1}{3}, \frac{5}{3}\right)$
D
$\left(\frac{1}{5}, \frac{-1}{10}, \frac{1}{2}\right)$
MHT CET Subjects
EXAM MAP