1
GATE ME 2011
MCQ (Single Correct Answer)
+1
-0.3
Consider the differential equation $${{dy} \over {dx}} = \left( {1 + {y^2}} \right)x\,\,.$$ The general solution with constant $$'C'$$ is
A
$$y = \tan \left( {{{{x^2}} \over 2}} \right) + C$$
B
$$y = {\tan ^2}\left( {{x \over 2} + C} \right)$$
C
$$y = {\tan ^2}\left( {{x \over 2}} \right) + C$$
D
$$y = \tan \left( {{{{x^2}} \over 2} + C} \right)$$
2
GATE ME 2011
MCQ (Single Correct Answer)
+1
-0.3
The integral $$\,\int\limits_1^3 {{1 \over x}\,\,dx\,\,\,} $$ when evaluated by using simpson's $$1/{3^{rd}}$$ rule on two equal sub intervals each of length $$1,$$ equals to
A
$$1.000$$
B
$$1.008$$
C
$$1.1111$$
D
$$1.120$$
3
GATE ME 2011
MCQ (Single Correct Answer)
+1
-0.3
The product of two complex numbers $$1 + i\,\,\,\,\& \,\,\,\,2 - 5\,i$$ is
A
$$7-3i$$
B
$$3-4i$$
C
$$-3-4i$$
D
$$7+3i$$
4
GATE ME 2011
MCQ (Single Correct Answer)
+1
-0.3
The coefficient of restitution of a perfectly plastic impact is
A
Zero
B
$$1$$
C
$$2$$
D
infinite
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