Maxima and MinimaHard
Question
If p and q are positive real numbers such that p2 + q2 = 1, then the maximum value of (p + q) is
Options
A.2
B.1/2
C.
D.√2
Solution
Using A.M. ≥ G.M.
≥ pq
⇒ pq ≤
(p + q)2 = p2 + q2 + 2pq
⇒ p + q ≤ √2
≥ pq⇒ pq ≤
(p + q)2 = p2 + q2 + 2pq
⇒ p + q ≤ √2
Create a free account to view solution
View Solution FreeMore Maxima and Minima Questions
If , then the maximum value of Z is equal to...If three positive real numbers a, b, c are in A.P. with abc = 64 then minimum value of b is :-...Which point of the parabola y = x2 is nearest to the point (3, 0) -...The least value of 2(x2−3)2 + 27 is -...If f(x) = (t - 2)(t - 3) dt for all x ∈ (0, ∞), then...