Electrical Engineering > GATE 2025 > Optimization
Consider the set S of points (x,y)∈ℜ2 which minimize the real valued function f(x,y)=(x+y-1)2+(x+y)2
Which of the following statements is true about the set S?
A
The number of elements in the set S is finite and more than one.
B
The number of elements in the set S is infinite.
C
The set S is empty.
D
The number of elements in the set S is exactly one.

Explanation

Correct : b

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