1
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The approximate value of $\tan ^{-1}(0.999)$ is (use $\pi=3.1415$ )

A
0.7843
B
0.7849
C
0.7847
D
0.7851
2
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Let 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 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $\mathrm{O}(0,0), \mathrm{A}(1,2)$ and $\mathrm{B}(3,4)$ are the vertices of triangle OAB , then the joint equation of the altitude and median drawn from O is

A
$3 x^2-x y-2 y^2=0$
B
$3 x^2+x y+2 y^2=0$
C
$3 x^2-x y+2 y^2=0$
D
$3 x^2+x y-2 y^2=0$
4
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of the plane, passing through the point $(-1,2,-3)$ and parallel to the lines $\frac{x-1}{3}=\frac{y-2}{2}=\frac{z}{-4}$ and $\frac{x}{2}=\frac{y-1}{-3}=\frac{z-2}{2}$, is

A
$8 x-14 y-13 z-3=0$
B
$8 x-14 y+13 z+75=0$
C
$8 x+14 y+13 z+19=0$
D
$8 x+14 y-13 z-59=0$
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