1
GATE ME 2009
MCQ (Single Correct Answer)
+1
-0.3
The area enclosed between the curves $${y^2} = 4x\,\,$$ and $${{x^2} = 4y}$$ is
A
$${{16} \over 3}$$
B
$$8$$
C
$${{32} \over 3}$$
D
$$16$$
2
GATE ME 2009
MCQ (Single Correct Answer)
+1
-0.3
The distance between the origin and the point nearest to it on the surface $$\,\,{z^2} = 1 + xy\,\,$$ is
A
$$1$$
B
$${{\sqrt 3 } \over 2}$$
C
$${\sqrt 3 }$$
D
$$2$$
3
GATE ME 2009
MCQ (Single Correct Answer)
+2
-0.6
The divergence of the vector field $$\,3xz\widehat i + 2xy\widehat j - y{z^2}\widehat k$$ at a point $$(1,1,1)$$ is equal to
A
$$7$$
B
$$4$$
C
$$3$$
D
$$0$$
4
GATE ME 2009
MCQ (Single Correct Answer)
+1
-0.3
If three coins are tossed simultaneously, the probability of getting at least one head is
A
$$1/8$$
B
$$3/8$$
C
$$1/2$$
D
$$7/8$$
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