If, prove that x2 + y2 = 1.
Consider the given equation,
Now, rationalizing
[(a – b)(a + b) = a2 – b2]
[i2 = -1]
On comparing both the sides, we get
Now, we have to prove that x2 + y2 = 1
Taking LHS,
x2 + y2
Putting the value of x and y, we get
= 1
= RHS
Hence Proved