1
GATE PI 2016
MCQ (Single Correct Answer)
+1
-0.3
At $$x=0,$$ the function is $$f\left( x \right) = \left| {\sin {{2\pi x} \over L}} \right|\left( { - \infty < x < \infty ,L > 0} \right)$$
A
continuous and differentiable.
B
not continuous and not differentiable.
C
not continuous but differentiable.
D
continuous but not differentiable.
2
GATE PI 2015
MCQ (Single Correct Answer)
+1
-0.3
The function $$f\left( x \right) = {x^2} = x + x + x + ....x$$ times, is defined
A
at all real values of $$x$$
B
only at positive integer values of $$x$$
C
only at negative integer values of $$x$$
D
only at rational values of $$x$$
3
GATE PI 2012
MCQ (Single Correct Answer)
+1
-0.3
Consider the function $$f\left( x \right) = \left| x \right|$$ in the interval $$\,\, - 1 \le x \le 1.\,\,\,$$ At the point $$x=0, f(x)$$ is
A
continuous and differentiable .
B
non-continuous and differentiable.
C
continuous and non-differentiable.
D
neither continuous nor differentiable.
4
GATE PI 2012
MCQ (Single Correct Answer)
+1
-0.3
The area enclosed between the straight line $$y=x$$ and the parabola $$y = {x^2}$$ in the $$x-y$$ plane is
A
$$1/6$$
B
$$1/4$$
C
$$1/3$$
D
$$1/2$$
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