1
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
$x^2+y^2+6 x-4 y-36=0$
2
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
$\frac{a}{x}-\frac{x}{a}$
3
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
Let $A$ and $B$ be two events such that one of the two events must occur. Given that the chance of occurrence of $A$ is $\frac{2}{3}$ the chance of occurrence of $B$, then odds in favour of $B$ is
A
$3: 5$
B
$2: 5$
C
$3: 2$
D
$2: 3$
4
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
For two matrices $A$ and $B$, given that $A^{-1}=\frac{1}{8} B$ then inverse of $(8 A)$ is
A
$\frac{1}{8} B$
B
8 B
C
$\frac{1}{64} B$
D
  B
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