Mathematics misc (541) MCQs with Answers

If $z = 3 + 4i$, find the conjugate of $z$ is ?

• A.$-3 - 4i$
• B.$-3 + 4i$
• C.$3 + 4i$
• D.$3 - 4i$

The Muslim mathematician Al-Khwarizmi is best known for his work in _?

• A.Algebra
• B.Geometry
• C.Trigonometry
• D.Calculus

If $a > b$, $b > c$, and $d > a$, then which of the following is true?

• A.$b < d$
• B.$a < c$
• C.$d < c$
• D.$b > d$

If $A$ is a matrix of order $3 \times 2$, then the order of $A^T$ is

• A.$3 \times 2$
• B.$2 \times 3$
• C.$3 \times 3$
• D.$2 \times 2$

For complex numbers $Z_1$ and $Z_2$, which one of the following is true?

• A.$\overline{Z_1 Z_2} = \overline{Z_1} + \overline{Z_2}$
• B.$\overline{Z_1 Z_2} = \overline{Z_1} \cdot \overline{Z_2}$
• C.$\overline{Z_1 Z_2} = \overline{Z_1} - \overline{Z_2}$
• D.$\overline{Z_1 Z_2} = \dfrac{\overline{Z_1}}{\overline{Z_2}}$

Matrices do not obey which of the following laws?

• A.Associative Law
• B.Commutative Law
• C.Distributive Law
• D.None of these

The slope of the tangent to the curve $y^3x + y^2x^2 = 6$ at $(2, 1)$ is:

• A.$-\frac{5}{14}$
• B.$\frac{5}{14}$
• C.$-\frac{14}{5}$
• D.$\frac{14}{5}$

If $|A| \neq 0$, then matrix $A$ is _?

• A.Singular
• B.Non-singular
• C.Symmetric
• D.Skew-symmetric

Evaluate: $\lim_{x \to 0} \frac{\sin ax}{\sin bx} = ?$

• A.$\frac{a}{b}$
• B.$\frac{b}{a}$
• C.$1$
• D.$ab$

If $A = \begin{bmatrix} a & b \\ c & d \end{bmatrix}$, then $ad - bc$ is called ?

• A.Determinant of $A$
• B.Trace of $A$
• C.Transpose of $A$
• D.Inverse of $A$