Question

If p and q are real numbers such that p2 + q2 = 1 then
maximum value of (p+q) is​

Answer 1

Answer:

ANSWER

Using AM≥GM on p and q

2

p  

2

+q  

2

 

​  

≥pq

⇒pq≤  

2

1

​  

(∵p  

2

+q  

2

=1)

Now, (p+q)  

2

=p  

2

+q  

2

+2pq

⇒(p+q)  

2

=1+2pq

⇒(p+q)  

2

≤1+1

⇒p+q≤  

2

Step-by-step explanation: