1
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $A=\left[\begin{array}{cc}1 & -2 \\ 4 & 5\end{array}\right] ; f(t)=t^2-3 t+7$ then $f(A)+\left[\begin{array}{cc}3 & 6 \\ -12 & -9\end{array}\right]=$
A
$\left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right]$
B
$\left[\begin{array}{ll}1 & 1 \\ 0 & 0\end{array}\right]$
C
$\left[\begin{array}{ll}0 & 0 \\ 0 & 0\end{array}\right]$
D
$\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
2
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
Codes used for vehicle identification consists of two distinct English alphabets followed by two distinct digits from 1 to 9 . How many of them end with an even number.
A
10400
B
2600
C
20800
D
5200
3
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
Equation of a circle whose area is 154 sq units and having $2 x-3 y+12=0$ and $x+4 y-5=0$ as diameters is
A
$x^2+y^2+6 x-4 y+36=0$
B
$x^2-y^2+6 x-4 y-36=0$
C
$x^2+y^2-6 x+4 y-36=0$
D
$x^2+y^2+6 x-4 y-36=0$
4
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $y=\sqrt{\frac{x}{a}}+\sqrt{\frac{a}{x}}, \quad$ then $2 x y \frac{d y}{d x}$ is equal to
A
$x+\frac{a}{x}$
B
$\frac{x^2+a^2}{a x}$
C
$\frac{x}{a}-\frac{a}{x}$
D
$\frac{a}{x}-\frac{x}{a}$
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