Definition of a Determinant

Q.

How do you find the determinant of a $2\times 3$ matrix $?$

Q. How to solve inequalities involving modulus sign

Q. Find the modulus and argument of the complex number root 3 - i and converted into polar form

Q. 113.Find the modulus and the arguments . Q. z=-1-i3

Q. z and w are non zero complex number and / z / = /w/ and arg( z ) +arg ( w ) = +pie therefore z = , where / / is denoted as modulus

Q.

Find the modulus and conjugate of complex number 4 + 3i.

Q. Find modulus of z = x+ i√1-2x, x belongs to real numbers and x is less than or equal to 1/2

Q. Modulus of |(2+i)/(4+i)|

Q. If f(x) = x³ + |tanx| then $f^{\prime }\left(\frac{\pi }{2}\right)$is equal to

यदि f(x) = x³ + |tanx|, तब $f^{\prime }\left(\frac{\pi }{2}\right)$ का मान है

1. $\frac{3{\pi }^2}{4}$
   
2. Does not exist
   
   विद्यमान नहीं
   
3. $\frac{{\pi }^2}{4}$
   
4. π
   

Q. [mod(x-2) - mod(3)] >1

Q. mod of x minus 3 plus mod of 4 minus x is equal to 1 . find the value of x

Q. Let $A$ be a $3\times 3$ matrix such that $det\left(A\right)=a=3$ and $B=adj\left(A\right)$ such that $det\left(B\right)=b.$ Then the value of $(3b^2+9b+1)S,$ where $\frac{1}{2}S=\frac{a}{b}+\frac{a^2}{b^3}+\frac{a^3}{b^5}+\cdots \text{upto}\infty ,$ is

1. $175$
2. $224$
3. $225$
4. $325$

Q.

If (x - 5) is a factor of the cubic equation $x^3-18x-35=0$ . Find the quotient.

1. + 2x + 3

2. 

3. 

4. 

Q. 27. Is the graph of 2|x| different from |2x|.Kindly eplain with graph and algorithm to draw that. |.| --> modulus function.

Q. z and w are non zero complex number and \vert z \vert = \vert w\vert and arg( z ) +arg ( w ) = +pie therefore z = , where / / is denoted as modulus

Q. What is modulus of -x+y-1?? ==>Is it +x-y+1??

Q. Find the modulus of (1+i/1-i)+(1-i/1+i)

Q. Explain inequalities related to modulus of real number

Q. 11 z and w are non zero complex number and / z / = /w/ and arg( z ) +arg ( w ) = +pie therefore z = , where / / is denoted as modulus

Q. The value of $\theta$ satisfying $\left|\begin{array}{ccc}1& 1& \sin 3\theta \\ -4& 3& \cos 2\theta \\ 7& -7& -2\end{array}\right|=0$ in $[0,2\pi ]$ is

Q. Find the modulus and argument of the complex number root 3 - i and converted into polar form

Q. If the co-factor $C_{21}$ (Cofactor of element of $i^{\text{th}}$ row $\&j^{\text{th}}$ column) of the matrix $\left|\begin{array}{cc}5& 20\\ 0& -1\end{array}\right|$ is $\alpha$ and the value of the determinant is $\beta ,$ then $\beta -\alpha$ is

Q. What is the value of modulus of 2+3i?