If the sum and product of any two distinct complex numbers are 4 and 8 respectively, then the numbers are :
1). 2 + 2i; 2 — 2i
2). 2 + 3i; 2 - 3i
3). 3 + 2i; 1 — 2i
4). 1 + 2i; 3-2i
If $F(s)$ is the Fourier transform of a function $F(x)$ . then the Fourier transform of $F(2x)$ is given by :
1). $e^{2is}f(s)$
2). $\frac{1}{2}F\left(\frac{2}{s}\right)$
3). $F(s-2)$
4). $\frac{1}{2}F\left(\frac{s}{2}\right)$
The number of real values of x satisfying the equation $2 \left(x^{2}+\frac{1}{x^{2}}\right)-9\left(x+\frac{1}{x}\right)+14=0$ is given by :
1). 3
2). 4
3). 2
4). 1
In how many ways can 7 gentlemen and 7 ladies sit down at a round table. NO 2 ladies being together?
1). 6! X 7! ways
2). 7! X 7! ways
3). 6! X 6! ways
4). 6! ways
The first derivative of $y=\frac{(x-1)(x^{2}-2x)}{x^{4}}$ with respect of x, is:
1). $2x^{-2}+5x^{-3}-6x^{-4}$
2). $-x^{-2}+6x^{-3}-6x^{-4}$
3). $x^{-2}-6x^{-3}+6x^{-4}$
4). $x^{-2}+6x^{-3}-2x^{-4}$