1
KCET 2023
MCQ (Single Correct Answer)
+1
-0

The modulus of the complex number $$\frac{(1+i)^2(1+3 i)}{(2-6 i)(2-2 i)}$$ is

A
$$\frac{2}{\sqrt{2}}$$
B
$$\frac{1}{\sqrt{2}}$$
C
$$\frac{\sqrt{2}}{4}$$
D
$$\frac{4}{\sqrt{2}}$$
2
KCET 2023
MCQ (Single Correct Answer)
+1
-0

Given that $$a, b$$ and $$x$$ are real numbers and $$a < b, x < 0$$, then

A
$$\frac{a}{x} \geq \frac{b}{x}$$
B
$$\frac{a}{x}<\frac{b}{x}$$
C
$$\frac{a}{x} \leq \frac{b}{x}$$
D
$$\frac{a}{x}>\frac{{b}}{x}$$
3
KCET 2023
MCQ (Single Correct Answer)
+1
-0

Ten chairs are numbered as 1 to 10. Three women and two men wish to occupy one chair each. First the women choose the chairs marked 1 to 6 , then the men choose the chairs from the remaining. The number of possible ways is

A
$${ }^6 P_3 \times{ }^4 P_2$$
B
$${ }^6 C_3 \times{ }^4 P_2$$
C
$${ }^6 \mathrm{P}_3 \times{ }^4 \mathrm{C}_2$$
D
$${ }^6 C_3 \times{ }^4 C_2$$
4
KCET 2023
MCQ (Single Correct Answer)
+1
-0

Which of the following is an empty set?

A
$$\left\{x: x^2+1=0, x \in R\right\}$$
B
$$\left\{x: x^2-9=0, x \in R\right\}$$
C
$$\left\{x: x^2=x+2, x \in R\right\}$$
D
$$\left\{x: x^2-1=0, x \in R\right\}$$
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12