1
GATE EE 2009
MCQ (Single Correct Answer)
+2
-0.6
$$F\left( {x,y} \right) = \left( {{x^2} + xy} \right)\,\widehat a{}_x + \left( {{y^2} + xy} \right)\,\widehat a{}_y.\,\,$$ Its line integral over the straight line from $$(x, y)=(0,2)$$ to $$(x,y)=(2,0)$$ evaluates to
A
$$-8$$
B
$$4$$
C
$$8$$
D
$$0$$
2
GATE EE 2005
MCQ (Single Correct Answer)
+2
-0.6
for the scalar field $$u = {{{x^2}} \over 2} + {{{y^2}} \over 3},\,\,$$ the magnitude of the gradient at the point $$(1,3)$$ is
A
$$\sqrt {{{13} \over 9}} $$
B
$$\sqrt {{9 \over 2}} $$
C
$$\sqrt 5 $$
D
$${{9 \over 2}}$$
GATE EE Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12