GATE IN 2016
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## GATE IN

Consider the matrix $$A = \left( {\matrix{ 2 &amp; 1 &amp; 1 \cr 2 &amp; 3 &amp; 4 \cr { - 1} &amp; { - 1} View Question A straight line of the form$$y=mx+c$$passes through the origin and the point$$(x, y)=(2,6).$$The value of$$m$$is View Question$$\mathop {\lim }\limits_{n \to \infty } \left( {\sqrt {{n^2} + n} - \sqrt {{n^2} + 1} } \right)\,\,$$is ________. View Question Let$$\,\,f:\left[ { - 1, - } \right] \to R,\,\,$$where$$\,f\left( x \right) = 2{x^3} - {x^4} - 10.$$The minimum valu View Question The vector that is NOT perpendicular to the vectors$$\,\,\left( {i + j + k} \right)\,\,$$and$$\,\left( {i + 2j + 3k}
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An urn contains $$5$$ red and $$7$$ green balls. A ball is drawn at random and its colour is noted. The ball is placed b
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The value of the integral $${1 \over {2\pi j}}\int\limits_c {{{{z^2} + 1} \over {{z^2} - 1}}} dz$$ where $$z$$ is a com
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In the neighborhood of $$z=1,$$ the function $$f(z)$$ has a power series expansion of the form f\left( z \right) = 1 +
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