# Multiple Choice Questions (MCQs)

Textbook of Algebra and Trigonometry Class XI is published by Punjab Textbook Board (PTB) Lahore, Pakistan. The book has total of 14 chapters.

Our plan is to give lot of Multiple Choice Questions (MCQs) for the above mentioned book. MCQs are very important because most of entry tests, admission tests and job tests consists of only MCQs.

## Chapter 01

- $\sqrt{3}$ is
- (A) rational
- (B) irrational
- (C) integer
- (D) prime

- If $n$ is prime, then $\sqrt{n}$ is
- rational number
- whole number
- natural number
- irrational number

- Multiplicative property of order of real numbers is that $\forall a, b, c \in R$
- $a<b \wedge c>0\Rightarrow ac\geq bc$
- $a<b \wedge c>0\Rightarrow ac> bc$
- $a<b \wedge c>0\Rightarrow ac< bc$
- $a>b \wedge c>0\Rightarrow ac= bc$

- Which of the following is an expression for $\sqrt{-81}-\sqrt{-36}$ in the form $a+ib$, where $a$ and $b$ are real?
- $0+\sqrt{117}i$
- $0+\sqrt{15}i$
- $0+ 3i$
- $0+\sqrt{3}i$

- Every non-repeating, non-terminating decimal is
- rational number
- irrational number
- integer
- none of these

- Golden rule of fractions is that for $K \neq o, \frac{a}{b}=$
- $\frac{ab}{k}$
- $\frac{k}{ab}$
- $\frac{kb}{ka}$
- $\frac{ka}{kb}$

- Geometrically, the modulus of a complex number represents its distance from the
- point $(1,0)$
- point $(0,1)$
- point $(1,1)$
- origin

- $\forall z \in C, z^2+{\bar z}^2$
- imaginary
- real
- zero
- negative

- The constant ratio of the circumference of any circle to the length of its diameter is called ——
- $\frac{22}{7}$
- $\pi$
- $\frac{21}{7}$
- $3.141414$

- $0.010100020002...$ is a ——– decimal.
- non-terminating and periodic
- terminating and periodic
- non-terminating and non-periodic
- terminating and non-periodic

- $\forall a, b \in R$ either $a=b$ or $a>b$ or $a<b$ is —— property.
- Transitive
- Trichotomy
- Trigonometry
- Translatory

- Every non-zero complex number $(a,b)$ has a multiplicative inverse equal to —–
- $(-a,-b)$
- $(\frac{a}{a+b}, \frac{-b}{a+b})$
- $(\frac{-a}{a^2+b^2}, \frac{b}{a^2+b^2})$
- $(\frac{a}{a^2+b^2}, \frac{-b}{a^2+b^2})$

- The conjugate of a complex number $(a,b)$ is equal to ——
- $(-a,-b)$
- $(-a,+b)$
- $(a,b)$
- $(a,-b)$

- The figure representing one or more complex numbers on a complex plane is called ——- diagram.
- an artistic
- an organd
- an imaginative
- an argand

- The geometrical plane on which coordinates system has been specified is called the —— plane.
- complex
- complex conjugate
- real
- realistic

- If a point $A$ of the coordinate plane correspond to the ordered pair $(a,b)$ then $a,b$ are called the ——- of $A$.
- ordinate
- abscissas
- coefficients
- co-ordinates

- $\{1,-1\}$ possess closure property w.r.t.
- addition
- multiplication
- division
- subtraction

- $(-1)^{-\frac{21}{2}}$ is equal to
- $i$
- $-i$
- $1$
- $-1$

- The members of a Cartesian poduct, are called
- real number
- ordered pair
- elements
- none of these

- If $z=-3-5i$ then $z^{-1}=------$
- $\frac{-3}{34}+\frac{5}{34}i$
- $\frac{3}{34}\frac{5}{34}i$
- $\frac{3}{34}+\frac{5}{34}i$
- none of these

- $i$ can be written in the form of ordered pair as
- $(1,0)$
- $(1,1)$
- $(0,1)$
- none of these

- $\forall a, b, c \in R, a=b \wedge b=c \Rightarrow a=c$ is called
- reflexive property
- symmetric property
- transitive property
- none of these

- If a point $A$ of the coordinate plane correspond to the order pair $(a,b)$ then $b$ is called
- abscissa
- $x$-coordinate
- ordinate
- none of these