1
MHT CET 2023 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The line $$\frac{x-2}{3}=\frac{y-1}{-5}=\frac{z+2}{2}$$ lies in the plane $$x+3 y-\alpha z+\beta=0$$, then the value of $$\alpha^2+\alpha \beta+\beta^2$$ is

A
127
B
43
C
109
D
61
2
MHT CET 2023 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Let $$\mathrm{P}$$ be a plane passing through the points $$(2,1,0),(4,1,1)$$ and $$(5,0,1)$$ and $$R$$ be the point $$(2,1,6)$$. Then image of $$R$$ in the plane $$P$$ is

A
$$(6,5,2)$$
B
$$(4,3,2)$$
C
$$(6,5,-2)$$
D
$$(3,4,-2)$$
3
MHT CET 2023 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The co-ordinates of the point, where the line through $$A(3,4,1)$$ and $$B(5,1,6)$$ crosses the $$\mathrm{XZ}$$-plane, are

A
$$\left(\frac{11}{3}, 0, \frac{21}{3}\right)$$
B
$$\left(\frac{17}{3}, 0, \frac{23}{3}\right)$$
C
$$\left(\frac{-11}{3}, 0, \frac{21}{3}\right)$$
D
$$\left(\frac{17}{3}, 0, \frac{-23}{3}\right)$$
4
MHT CET 2023 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\mathrm{ABC}$$ is a triangle in a plane with vertices $$\mathrm{A}(2,3,5), \mathrm{B}(-1,3,2)$$ and $$\mathrm{C}(\lambda, 5, \mu)$$. If median through $$\mathrm{A}$$ is equally inclined to the co-ordinate axes, then value of $$\lambda+\mu$$ is

A
17
B
10
C
7
D
3
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12