Let a and b be the roots of the equation Let c and d $x^{2}+px+1=0$ be the roots of the equation $x^{2}+qx+1=0$,
Then the value of (a-c)(b-c)(a + d)(b + d) is equal to:
1). $-p^{2}+q^{2}$
2). $p^{2}-q^{2}$
3). $-p^{2}-q^{2}$
4). $p^{2}+q^{2}$
If $sin^{-1}(x)+sin^{-1}(y)+sin^{-1}(z)=\frac{3\pi}{2}$, then the value of $((x)^{100}+(y)^{100}+(z)^{100})-\frac{9}{(x)^{101}+(y)^{101}+(z)^{101}}$ is :
1). 0
2). 3
3). 2
4). -1
$\frac{1}{2}+\frac{1}{5}+\frac{1}{8}+\frac{1}{11}+\frac{1}{20}+\frac{1}{41}+\frac{1}{110}+\frac{1}{1640}$ is equal to:
1). 1
2). 1.6
3). 2
4). 1.8
Which of the following is used for single-line comment in SQL?
1). ##
2). --
3). &&
4). /* . ..*/
Let T be linear transformation of $R^{3}$ into $R^{2}$ defined by T( x, y, z ) = (2x + y - z, 3x- 2 y + 4z) for all ( x, y, z ) in $R^{3}$. Then
the matrix of T relative to the bases $\beta=\left\{\epsilon_{1}=(1,1,1),\epsilon_{2}=(1,1,0),\epsilon_{3}=(1,0,0)\right\}$ and $\delta=\left\{\eta_{1}=(1,3),\eta_{2}=(1,4) \right\}$ is:
1). $\begin{bmatrix}3 & 11 & 5 \\-1 & -8 & -3 \end{bmatrix}$
2). $\begin{bmatrix}3 & 11 & -5 \\1 & -8 & 3 \end{bmatrix}$
3). $\begin{bmatrix}-3 & 11 & 5 \\1 & 8 & 3 \end{bmatrix}$
4). $\begin{bmatrix}3 & -11 & 5 \\-1 & 8 & 3 \end{bmatrix}$