Class 12 Math: test

Class 12 Math

ID: 328 Type: Mcq Source: AISSCE(Board Exam) Year: 2025
Question 1: The following graph is a combination of:
  • A. \(y=\sin^{-1}x\) and \(y=\cos^{-1}x\)
  • B. \(y=\cos^{-1}x\) and \(y=\cos x\)
  • C. \(y=\sin^{-1}x\) and \(y=\sin x\)
  • D. \(y=\cos^{-1}x\) and \(y=\sin x\)
ID: 344 Type: Mcq Source: AISSCE(Board Exam) Year: 2025
Question 2: The given graph illustrates :

Diagram for Queastion

  • A. \(y=\tan^{-1}x\)
  • B. \(y=\operatorname{cosec}^{-1}x\)
  • C. \(y=\cot^{-1}x\)
  • D. \(y=\sec^{-1}x\)
ID: 354 Type: Mcq Source: AISSCE(Board Exam) Year: 2025
Question 3: If \(f:R\rightarrow R\) is defined as \(f(x)=2x-\sin x,\) then f is:
  • A. a decreasing function
  • B. an increasing function
  • C. maximum at \(x=\frac{\pi}{2}\)
  • D. maximum at \(x=0\)
ID: 355 Type: Mcq Source: AISSCE(Board Exam) Year: 2025
Question 4: \(\int\frac{e^{9\log x}-e^{8\log x}}{e^{6\log x}-e^{5\log x}}dx\) is equal to:
  • A. \(x+C\)
  • B. \(\frac{x^{2}}{2}+C\)
  • C. \(\frac{x^{4}}{4}+C\)
  • D. \(\frac{x^{3}}{3}+C\)
ID: 472 Type: Mcq Source: AISSCE(Board Exam) Year: 2024
Question 5: Which of the following statements is true for the function \(f(x)=\begin{cases}x^{2}+3,&x\ne0\\ 1&,&x=0\end{cases}\) ?
  • A. \(f(x)\) is continuous and differentiable \(\forall x\in\mathbb{R}\)
  • B. \(f(x)\) is continuous \(\forall x\in\mathbb{R}\)
  • C. \(f(x)\) is continuous and differentiable \(\forall x\in\mathbb{R}-\{0\}\)
  • D. \(f(x)\) is discontinuous at infinitely many points
ID: 539 Type: Mcq Source: AISSCE(Board Exam) Year: 2024
Question 6: The maximum value of \(Z=4x+y\) for a L.P.P. whose feasible region is given below is: [Graph image present in source]
  • A. 50
  • B. 110
  • C. 120
  • D. 170
ID: 540 Type: Mcq Source: AISSCE(Board Exam) Year: 2024
Question 7:

The probability distribution of a random variable $X$ is:

$X$ 0 1 2 3 4
$P(X)$ 0.1 $k$ $2k$ $k$ 0.1

where $k$ is some unknown constant. The probability that the random variable $X$ takes the value 2 is:

  • A. \(\frac{1}{5}\)
  • B. \(\frac{2}{5}\)
  • C. \(\frac{4}{5}\)
  • D. 1
ID: 453 Type: Very short (VSA) Source: AISSCE(Board Exam) Year: 2025
Question 8: (b) In a village of 8000 people, 3000 go out of the village to work and 4000... (Question is incomplete in source document) (2)