1
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
The variance of 25 observations is 8 . If each observation is multiplied by 3 , then the new variance of the resulting observations is
A
8
B
$\frac{8}{9}$
C
24
D
72
2
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
P is a point on the line joining the points $(3,5,-1)$ and $(6,3,-2)$. If $y$ coordinate of point P is 2 , then $x$ coordinate will be
A
$-5$
B
$\frac{3}{2}$
C
$\frac{15}{2}$
D
$\frac{9}{2}$
3
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $\vec{a}, \vec{b}, \vec{c}$ are three vectors such that $a \neq 0$ and $\vec{a} \times \vec{b}=2(\vec{a} \times \vec{c}),|\vec{a}|=|\vec{c}|=1,|\vec{b}|=4$ and $|\vec{b} \times \vec{c}|=\sqrt{15}$ if $\vec{b}-2 \vec{c}=\lambda \vec{a}$ then $\lambda^2$ equals :
A
$-$4
B
16
C
1
D
4
4
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
The general solution of the differential equation $(x-y) d y=(x+y) d x$ is
A
$\tan ^{-1}\left(\frac{y}{x}\right)=c \sqrt{x^2+y^2}$
B
$\tan ^{-1}\left(\frac{y}{x}\right)=x^2+y^2+c$
C
$e^{\tan ^{-1}\left(\frac{y}{x}\right)}=\frac{c \sqrt{x^2+y^2}}{x}$
D
$e^{\tan ^{-1}\left(\frac{y}{x}\right)}=c \sqrt{x^2+y^2}$
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