page 3 | Mathematics-DDCET MCQ - Electrical Engineering Objective

Q31. If \(\sin{\theta} = -2 \) then \(\theta\) lies in \(_{------------}\)

First

Second

Third

Not possible

Q32. Multiplication of two matrices is defined if and only if

The number of columns of the left matrix is the same as the number of rows of the right matrix.

The number of columns of the left matrix is greater than or equal to the number of rows of the right matrix.

The number of columns of the left matrix is less than or equal to the number of rows of the right matrix.

The number of rows of the left matrix is the same as the number of columns of the right matrix.

Q33. \( 60 ^\circ = _{-----------} \: rad\)

\(\frac{\pi}{3}\)

\(\frac{\pi}{2}\)

\(\frac{\pi}{6}\)

\(\frac{\pi}{4}\)

Q34. If \(g(x) = 4x^3 - 3x^2 + 2x - 5\), what is \(g^{'}(x)\), the derivative of \(g(x)\) with respect to \(x\)?

\(12 x^2 - 6x +2\)

\(12 x^2 + 6x +2\)

\(12 x^2 - 6x -2\)

\(12 x - 6 \)

Q35. If \(\int 2^x \: dx = f(x) + C,\) then \(f(x)\) is

\(2^x\)

\(2^x ln2\)

\(\frac{2^x}{ln2}\)

\(2\)

Q36. \(\sin{\alpha}\cos{\beta} + \cos{\alpha}\sin{\beta} = _{-----------}\)

\(\sin{(\alpha - \beta)} \)

\(\cos{(\alpha - \beta)} \)

\(\cos{(\alpha + \beta)} \)

\(\sin{(\alpha + \beta)} \)

Q37. Consider following statements about determinant of a matrix:
Statement I: Only square matrices have determinants.
Statement II: For a matrix \(A\), \(|A|\) is read as determinant of \(A\) and not, as modulus of \(A\).

Only Statement I is true

Only Statement II is true

Both statements are true

Both statements are false

Q38. \(2 \sin{(\frac{5 \pi}{12})} \cos{(\frac{7\pi}{12})} = _{----------} \)

\(1\)

\( 0 \)

\(\frac{1}{2} \)

\( - \frac{1}{2} \)

Q39. If \(f(x) = \cos(4x)\), what is \(f^{'}(x)?\)

\(4\sin(4x)\)

\(4\cos(4x)\)

\(-4\sin(4x)\)

\(-4\sin(x)\)

Q40. What is the formula for calculating the mean \(\bar{X}\) of ungrouped data?

\(\bar{X} = \sum \frac{x_i}{\sum n}\)

\(\bar{X} = \sum \frac{x_i}{n}\)

\(\bar{X} = \sum \frac{\sum x_i}{n}\)

\(\bar{X} = \frac{\sum x_i}{n}\)

MCQ

Mathematics (DDCET)