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GATE IN 2016

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Consider the matrix $$A = \left( {\matrix{ 2 & 1 & 1 \cr 2 &...
$$\mathop {\lim }\limits_{n \to \infty } \left( {\sqrt {{n^2} + n} - \sqrt {{n^...
A straight line of the form $$y=mx+c$$ passes through the origin and the point $...
Let $$\,\,f:\left[ { - 1, - } \right] \to R,\,\,$$ where $$\,f\left( x \right) =...
The vector that is NOT perpendicular to the vectors $$\,\,\left( {i + j + k} \ri...
An urn contains $$5$$ red and $$7$$ green balls. A ball is drawn at random and i...
The value of the integral $${1 \over {2\pi j}}\int\limits_c {{{{z^2} + 1} \over ...
In the neighborhood of $$z=1,$$ the function $$f(z)$$ has a power series expansi...

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