1
GATE IN 2008
MCQ (Single Correct Answer)
+1
-0.3
Consider the differential equation $${{dy} \over {dx}} = 1 + {y^2}.$$ Which one of the following can be particular solution of this differential equation ?
A
$$y = tan(x+3)$$
B
$$y=(tanx)+3$$
C
$$x=tan(y+3)$$
D
$$x=(tany)+3$$
2
GATE IN 2008
MCQ (Single Correct Answer)
+1
-0.3
It is known that two roots of the non-linear equation $$\,{x^3} - 6{x^2} + 11x - 6 = 0\,\,$$ are $$1$$ and $$3.$$ The third root will be
A
$$j$$
B
$$-j$$
C
$$2$$
D
$$4$$
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