GATE IN 2008
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## GATE IN

$$\,\mathop {Lim}\limits_{x \to 0} {{\sin x} \over x}\,\,\,$$ is
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Given $$y = {x^2} + 2x + 10\,\,\,$$ the value of $$\,\,{\left. {{{dy} \over {dx}}} \right|_{x = 1}}\,\,$$ is equal to
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The expression $${e^{ - ln\,x}}$$ for $$x &gt; 0$$ is equal to
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Consider the function $$\,\,y = {x^2} - 6x + 9.\,\,\,$$ The maximum value of $$y$$ obtained when $$x$$ varies over the i
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A random variable is uniformly distributed over the interval $$2$$ to $$10.$$ Its variance will be
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Consider a Gaussian distributed random variable with zero mean and standard deviation $$\sigma .\,\,\,$$ The value of it
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$${P_x}\left( X \right) = M{e^{\left( { - 2\left| x \right|} \right)}} + N{e^{\left( { - 3\left| x \right|} \right)}}\,\ View Question Consider the differential equation$${{dy} \over {dx}} = 1 + {y^2}.$$Which one of the following can be particular sol View Question It is known that two roots of the non-linear equation$$\,{x^3} - 6{x^2} + 11x - 6 = 0\,\,$$are$$1$$and$$3. The th
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EXAM MAP
Joint Entrance Examination