Q14 of 202 Page 171

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


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