1
GATE EE 2011
MCQ (Single Correct Answer)
+1
-0.3
Roots of the algebraic equation $${x^3} + {x^2} + x + 1 = 0$$ are
A
$$(1,j,-j)$$
B
$$(1, -1, 1)$$
C
$$(0,0,0)$$
D
$$(-1,j.-j)$$
2
GATE EE 2011
MCQ (Single Correct Answer)
+1
-0.3
The function $$f\left( x \right) = 2x - {x^2} + 3\,\,$$ has
A
a maxima at $$x=1$$ and a minima at $$x=5$$
B
a maxima at $$x=1$$ and a minima at $$x=-5$$
C
only a maxima at $$x=1$$
D
only a minima at $$x=$$
3
GATE EE 2010
MCQ (Single Correct Answer)
+1
-0.3
At $$t=0,$$ the function $$f\left( t \right) = {{\sin t} \over t}\,\,$$ has
A
a minimum
B
a discontinuity
C
a point of inflection
D
a maximum
4
GATE EE 2007
MCQ (Single Correct Answer)
+1
-0.3
Consider the function $$f\left( x \right) = {\left( {{x^2} - 4} \right)^2}$$ where $$x$$ is a real number. Then the function has
A
Only one minimum
B
Only two minima
C
Three minima
D
Three maxima
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