1
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$A$$ and $$B$$ are invertible matrices of the same order such that $$\left|(A B)^{-1}\right|=8$$ if $$|A|=2$$ then $$|B|$$ is

A
6
B
16
C
4
D
$$\frac{1}{16}$$
2
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

The centre of the circle passing through $$(0,0)$$ and $$(1,0)$$ and touching the circle $$x^2+y^2=9$$ is

A
$$\left(\frac{1}{2}, \frac{1}{2}\right)$$
B
$$ \left(\frac{1}{2}, \frac{3}{2}\right) $$
C
$$ \left(\frac{1}{2},-\sqrt{2}\right) $$
D
$$ \left(\frac{3}{2}, \frac{1}{2}\right) $$
3
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

If the direction ratios of two lines are given by $$3 l m-4 l n+m n=0$$ and $$l+2 m+3 n=0$$, then the angle between the lines is

A
$$ \frac{\pi}{4} $$
B
$$ \frac{\pi}{6} $$
C
$$ \frac{\pi}{3} $$
D
$$ \frac{\pi}{2} $$
4
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

Which of the following is a singleton set?

A
$$\left\{x: x^2=4, \quad x \in R\right\}$$
B
$$\{x:|x|<4, \quad x \in N\}$$
C
$$\{x:|x|<-4, \quad x \in N\}$$
D
$$\left\{x: x^2=4, \quad x \in N\right\}$$
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