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Engineering Maths · Q63

Calculus

Engineering and GATE · Engineering Maths · question 63

Q63

Consider points P and Q in the x-y plane, with P = (1, 0) and Q = (0, 1). The line integral \[2 _ P^ Q ( xdx + ydy ) \] along the semicircle with the line segment PQ as its diameter

Consider points P and Q in the x-y plane, with P = (1, 0) and Q = (0, 1). The line integral    along the semicircle with the line segment PQ as its diameter
A.
is -1
B.
is 0
Answer
C.
is 1
D.
depends on the direction (clockwise or anticlockwise) of the semicircle

Answer: Option B

Solution

Answer: Option B
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