1
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
$$\int_0^a {\int_0^a {f\left( {x,y} \right)dx\,dy} } $$
2
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
3
GATE IN 2011
MCQ (Single Correct Answer)
+1
-0.3
The series $$\,\,\sum\limits_{m = 0}^\alpha {{1 \over {{4^m}}}{{\left( {x - 1} \right)}^{2m}}\,\,\,} $$ converges for
A
$$ - 2 < x < 2$$
B
$$ - 1 < x < 3$$
C
$$ - 3 < x < 1$$
D
$$x < 3$$
4
GATE IN 2008
MCQ (Single Correct Answer)
+1
-0.3
$$\,\mathop {Lim}\limits_{x \to 0} {{\sin x} \over x}\,\,\,$$ is
A
indeterminate
B
$$0$$
C
$$1$$
D
$$ \propto $$
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