$\sqrt{3}$ 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
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