1
GATE ME 2012
MCQ (Single Correct Answer)
+2
-0.6
$$x+2y+z=4, 2x+y+2z=5, x-y+z=1$$
The system of algebraic equations given above has
A
a unique solution of $$x=1,y=1$$ and $$z=1$$
B
only the two solutions of $$x=1, y=1, z=1$$ and $$x=2, y=1, z=0$$
C
infinite number of solutions.
D
no feasible solution.
2
GATE ME 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
$$1/2$$
3
GATE ME 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 ME 2012
MCQ (Single Correct Answer)
+1
-0.3
$$\,\mathop {Lim}\limits_{x \to 0} \left( {{{1 - \cos x} \over {{x^2}}}} \right)$$ is
A
$$1/4$$
B
$$1/2$$
C
$$1$$
D
$$2$$
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