1
GATE ECE 2017 Set 2
MCQ (Single Correct Answer)
+2
-0.6
The values of the integrals $$\int\limits_0^1 {\left( {\int\limits_0^1 {{{x - y} \over {{{\left( {x + y} \right)}^3}}}dy} } \right)} dx\,\,$$ and $$\,\,\int\limits_0^1 {\left( {\int\limits_0^1 {{{x - y} \over {{{\left( {x + y} \right)}^3}}}dx} } \right)} dy\,\,$$ are
A
same and equal to $$0.5$$
B
same and equal to $$-0.5$$
C
$$0.5$$ and $$-05,$$ respectively
D
$$-0.5$$ and $$-0.5,$$ respectively
2
GATE ECE 2017 Set 2
Numerical
+2
-0
The minimum value of the function $$f\left( x \right) = {1 \over 3}x\left( {{x^2} - 3} \right)\,\,$$ in the interval $$ - 100 \le x \le $$ $$100$$ occurs at $$x=$$ __________.
Your input ____
3
GATE ECE 2017 Set 2
Numerical
+1
-0
The smaller angle (in degrees) between the planes $$x+y+z=1$$ and $$2x-y+2z=0$$ is ________.
Your input ____
4
GATE ECE 2017 Set 2
Numerical
+2
-0
Passengers try repeatedly to get a seat reservation in any train running between two stations until they are successful. If there is $$40$$% chance of getting reservation in any attempt by a passenger, then the average number of attempts that passengers need to make to get a seat reserved is ___________.
Your input ____
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