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## GATE IN 2016

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
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## GATE IN

Consider the matrix $$A = \left( {\matrix{ 2 &amp; 1 &amp; 1 \cr 2 &amp;...$$\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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