1
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\mathrm{G}(4,3,3)$$ is the centroid of the triangle $$\mathrm{ABC}$$ whose vertices are $$\mathrm{A}(\mathrm{a}, 3,1), \mathrm{B}(4,5, \mathrm{~b})$$ and $$C(6, c, 5)$$, then the values of $$a, b, c$$ are

A
$$\mathrm{a}=1, \mathrm{~b}=2, \mathrm{c}=3$$
B
$$\mathrm{a=3, b=2, c=1}$$
C
$$\mathrm{a=2, b=1, c=3}$$
D
$$\mathrm{a}=2, \mathrm{~b}=3, \mathrm{c}=1$$
2
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The d.r.s. of the normal to the plane passing through the origin and the line of intersection of the planes $$x+2 y+3 z=4$$ and $$4 x+3 y+2 z=1$$ are

A
$$3,2,1$$
B
$$2,3,1$$
C
$$1,2,3$$
D
$$3,1,2$$
3
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The degree of the differential equation whose solution is $$y^2=8 a(x+a)$$, is

A
2
B
1
C
4
D
3
4
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the sum of slopes of lines represented by $$\mathrm{ax^2+8xy+5y^2=0}$$ is twice their product, then a =

A
$$-$$4
B
5
C
$$-$$2
D
$$-$$8
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