The value of $\left(\frac{1+i}{1-i}\right)^{100}$ is equal to

1

The greatest value of the term independent of $x$, as $\alpha$ varies over $R$, in the expansion of $\left(x\cos\alpha…

Topic: AMU MCA 2016

2

A polygon has $44$ diagonals. The number of its sides are

Topic: AMU MCA 2016

3

If $49^n + 16n + \lambda$ is divisible by $64$ for all $n \in N$, then the least negative integral value of $\lambda$ is

Topic: AMU MCA 2016

4

Given the LPP:Minimize $f = 2x_1 - x_2$$x_1 \ge 0,\ x_2 \ge 0$$x_1 + x_2 \ge 5$$-x_1 + x_2 \le 1$$5x_1 + 4x_2 \le 40$Th…

Topic: AMU MCA 2016

5

An $n$-tuple $(x_1,x_2,\dots,x_n)$ which satisfies all the constraints of a linear programming problem and for which th…

Topic: AMU MCA 2016

6

If $f(x)=x^\alpha \log x$ and $f(0)=0$, then the value of $\alpha$ for which Rolle’s theorem can be applied in $[0,1]$ …

Topic: AMU MCA 2016

7

Let $R$ be a reflexive relation on a finite set $A$ having $n$ elements and let there be $m$ ordered pairs in $R$, then

Topic: AMU MCA 2016

8

A root of the equation $17x^2 + 17x \tan\left(2\tan^{-1}\frac{1}{5} - \frac{\pi}{4}\right) - 10 = 0$ is

Topic: AMU MCA 2016

9

A root of the equation $17x^2 + 17x \tan\left(2\tan^{-1}\frac{1}{5} - \frac{\pi}{4}\right) - 10 = 0$ is

Topic: AMU MCA 2016

10

The solution set of the equation $\sin^{-1} x = 2\tan^{-1} x$ is

Topic: AMU MCA 2016