1
GATE ME 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The product of eigenvalues of the matrix $$P$$ is $$P = \left[ {\matrix{ 2 & 0 & 1 \cr 4 & { - 3} & 3 \cr 0 & 2 & { - 1} \cr } } \right]$$
A
$$-6$$
B
$$2$$
C
$$6$$
D
$$-2$$
2
GATE ME 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The value of $$\mathop {\lim }\limits_{x \to 0} \left( {{{{x^3} - \sin \left( x \right)} \over x}} \right)$$ is
A
$$0$$
B
$$3$$
C
$$1$$
D
$$-1$$
3
GATE ME 2017 Set 1
MCQ (Single Correct Answer)
+2
-0.6
A parametric curve defined by $$x = \cos \left( {{{\pi u} \over 2}} \right),y = \sin \left( {{{\pi u} \over 2}} \right)\,\,$$ in the range $$0 \le u \le 1$$ is rotated about the $$x-$$axis by $$360$$ degrees. Area of the surface generated is
A
$${\pi \over 2}$$
B
$$\pi $$
C
$${2\pi }$$
D
$${4\pi }$$
4
GATE ME 2017 Set 1
Numerical
+2
-0
For the vector $$\overrightarrow V = 2yz\widehat i + 3xz\widehat j + 4xy\widehat k,$$ the value of $$\,\nabla .\left( {\nabla \times \overrightarrow \nabla } \right)\,\,$$ is ______________.
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