1
GATE PI 2015
MCQ (Single Correct Answer)
+2
-0.6
The value of $$\mathop {\lim }\limits_{\left( {x,y} \right) \to \left( {0,0} \right)} {{{x^2} - xy} \over {\sqrt x - \sqrt y }}$$ is
A
$$0$$
B
$${{1 \over 2}}$$
C
$$1$$
D
$$\infty $$
2
GATE PI 2015
MCQ (Single Correct Answer)
+2
-0.6
The curve $$\,\,y = {x^4}\,\,$$
A
concave up for all values of $$x$$
B
concave down for all values of $$x$$
C
concave up only for positive values of $$x$$
D
concave up only for negative values of $$x$$
3
GATE PI 2012
MCQ (Single Correct Answer)
+2
-0.6
A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation $$y = 2x\,\,\, - 0.1{x^2}$$ where $$y$$ is the height of the arch in meters. The maximum possible height of the arch is
A
$$8$$ meters
B
$$10$$ meters
C
$$12$$ meters
D
$$14$$ meters
4
GATE PI 2010
MCQ (Single Correct Answer)
+2
-0.6
If $$f\left( x \right) = \sin \left| x \right|\,\,$$ then the value of $${{df} \over {dx}}\,\,$$ at $$\,\,x = {{ - \pi } \over 4}\,\,$$ is
A
$$0$$
B
$${1 \over {\sqrt 2 }}$$
C
$$-{1 \over {\sqrt 2 }}$$
D
$$1$$
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