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GATE IN 2007

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Let $$A = \left[ {{a_{ij}}} \right],\,\,1 \le i,j \le n$$ with $$n \ge 3$$ and ...
Let $$A$$ be $$n \times n$$ real matrix such that $${A^2} = {\rm I}$$ and $$Y$$ ...
For real $$x,$$ the maximum value of $${{{e^{Sin\,x}}} \over {{e^{Cos\,x}}}}\,\,...
Consider the function $$\,\,f\left( x \right) = {\left| x \right|^3},\,\,\,$$ wh...
The value of $$\,\int\limits_0^\infty {\int\limits_0^\infty {{e^{ - {x^2}}}{e^...
Assume that the duration in minutes of a telephone conversation follows the expo...
For the function $${{\sin z} \over {{z^3}}}$$ of a complex variable z, the point...
Let $$j\, = \,\sqrt { - 1} $$. Then one value of $${j^j}$$ is
The polynomial $$\,p\left( x \right) = {x^5} + x + 2\,\,$$ has
Identity the Newton $$-$$ Raphson iteration scheme for the finding the square ro...

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