If x + y = a and x-y = b then 2xy = ?

If x + y = a and x-y = b then 2xy = ?

A (b2-a2)/2

B (a2-b2)/2

C (a-b)/2

D (ab)/2

Solution

Correct Answer: Option A

here, x+y=a x-y=b so, x=a+b/2 so,y=b-a/2 2xy=2 X (b+a)/2 X (b-a)/2=b2-a2 /2