[administration]

Q. If x² + y²= 1 and x, y are real numbers. Let p, q be the largest and smallest possible
value of x + y respectively. Then compute pq
a) 0                    b) 1/2         c) −1/2                          d) 2                           e) −2

[Wonder Boy]

we can assume x=cos A and y=Sin A
then x+y=Cos A +sin A=sqrt(2) sin(45+A)
max value of sin is 1 and min is -1
hence max of x+y=sqrt(2)
and min is -sqrt(2)
and hence product is -2 Ans.

[Author]

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