1
GATE IN 2016
Numerical
+1
-0
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
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2
GATE IN 2016
Numerical
+1
-0
$$\mathop {\lim }\limits_{n \to \infty } \left( {\sqrt {{n^2} + n} - \sqrt {{n^2} + 1} } \right)\,\,$$ is ________.
Your input ____
3
GATE IN 2015
MCQ (Single Correct Answer)
+1
-0.3
The double integral $$\,\,\int_0^a {\int_0^y {f\left( {x,y} \right)\,dx\,dy\,\,\,} } $$ is equivalent to
A
$$\int_0^x {\int_0^y {f\left( {x,y} \right)dx\,dy} } $$
B
$$\int_0^a {\int_x^y {f\left( {x,y} \right)dx\,dy} } $$
C
$$\int_0^a {\int_x^a {f\left( {x,y} \right)dx\,dy} } $$
D
$$\int_0^a {\int_0^a {f\left( {x,y} \right)dx\,dy} } $$
4
GATE IN 2014
MCQ (Single Correct Answer)
+1
-0.3
Given $$x\left( t \right) = 3\,\sin \,\left( {1000\pi t} \right)\,\,$$ and $$\,\,y\left( t \right) = 5\cos \,\left( {1000\pi t{\pi \over t}} \right)$$
The $$x$$-yplot will be
A
a circle
B
a mulit-loop closed curve
C
a hyperbola
D
an ellipse
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