If , prove that x 2 + y 2 = 1.

Question

Philoid · Accepted Answer

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

If, prove that x2 + y2 = 1.