1
KCET 2025
MCQ (Single Correct Answer)
+1
-0

$2 \cos ^{-1} x=\sin ^{-1}\left(2 x \sqrt{1-x^2}\right)$ is valid for all values of ' $x$ ' satisfying

A
$0 \leq x \leq \frac{1}{\sqrt{2}}$
B
$-1 \leq x \leq 1$
C
$0 \leq x \leq 1$
D
$\frac{1}{\sqrt{2}} \leq x \leq 1$
2
KCET 2025
MCQ (Single Correct Answer)
+1
-0

Consider the following statements:

Statement (I): In a LPP, the objective function is always linear.

Statement (II): Ina LPP, the linear inequalities on variables are called constraints. Which of the following is correct?

A
Statement (I) is true, Statement (II) is true
B
Statement (I) is true, Statement (II) is false
C
Both Statements (I) and (II) are false
D
Statement (I) is false, Statement (II) is true
3
KCET 2025
MCQ (Single Correct Answer)
+1
-0

The maximum value of $\mathrm{z}=3 \mathrm{x}+4 \mathrm{y}$, subject to the constraints $\mathrm{x}+\mathrm{y} \leq 40, \mathrm{x}+2 \mathrm{y} \leq 60$ and $\mathrm{x}, \mathrm{y} \geq 0$ is

A
130
B
120
C
140
D
40
4
KCET 2025
MCQ (Single Correct Answer)
+1
-0

Consider the following statements.

Statement (I): If E and F are two independent events, then $E^{\prime}$ and $F^{\prime}$ are also independent.

Statement (II): Two mutually exclusive events with non-zero probabilities of occurrence cannot be independent.

Which of the following is correct?

A
Statement (I) is true and statement (II) is false
B
Statement (I) is false and statement (II) is true
C
Both the statements are true
D
Both the statements are false
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