Practice Exercise¶
if \(a\) and \(b\) are real numbers then \(a+b\) is a real no. This law is called
If \(a\in R\) then multiplicative inverse of \(a\) is
Which of the following is field?
\(1>-1\implies -3>-5\), this property is called
Let \(a\), \(b\), \(c\), \(d\) \(\in R\) then \(a=b\) and \(c=d\implies\)
If \(Z_1=(x_1,y_1)\), \(Z_2=(x_2,y_2)\) where \(Z_1\cdotp Z_2\in C\) then \(Z_1+Z_2=\)?
If \(Z_1=3-6i\) and \(Z_2=4+5i\) then \(Z_1Z_2=\)?
If \(Z_1=(1,0)\), \(Z_2=(2,3)\) then \(Z_1Z_2=\)?
\((3,5)+(0,4)=\)?
Additive inverse of \((3,3)\) is \(C\) is
If \(Z=(a,b)\) then multiplication inverse of \(Z\) is
If \(Z=a+b\), then \(|Z|=\)?
If \(Z=a+b\), then \(\overline{Z}=\)?
\(i^{15}=\)?
The value of \(i^{25}=\)?
Conjugate of \((-3,4)\) is
\((-i)^{31}\)
The multiplicative inverse of \(1-3i\) is
The value of \(i^{-29}\) is
If \(Z\in C\) then \(Z\overline{Z}=\)?
If \(Z_1,Z_2\in C\) then \(\overline{Z_1+Z_2}=\)?
The value of \((3+2i)^3\) is
\(C\) has no identity with respect to \(+\) other than
The conjugate of $$ \frac{2+3i}{1-i} $$
\((-1+\sqrt{-3})^4+\) \((-1-\sqrt{-3})^4=\)?
The smallest positive \(k\) for which $$ \left(\frac{1+i}{1-i}\right)^k = 1 $$ is
Set of even prime natural numbers is
If \(n\) is any positive integer then the value of $$ \frac{i^{4n+1} - i^{4n-1} }{2}= $$ ?
$$ \frac{\sqrt{18}}{\sqrt{72}} $$ is
\(2\sqrt{-9}\times\sqrt{-16}=\)?
$$ \left\vert\frac{1+i}{a+\frac{1}{i}}\right\vert= $$ ?
$$ \left(\frac{1-i}{1+i}\right)^{100} =x+iy $$ then
\(\{1,-1\}\) is closed with respect to
\((\cos20+i\sin20)^5\) \(/(\cos30+i\sin30)^3=\)?
The polar coordinates of point are \((2, 319)\) then the Cartesian coordinates of point are
The set of rational numbers between two real numbers is
Multiplicative inverse of non-zero elements \(a\in Z\) is
The \(\{x\in R, x^2 +10=0\}\) is
Additive identity on \(N\) is
Additive inverse of \(2+\sqrt{3}\) is
The multiplicative inverse of \(\sqrt{7}\) is