1.

Solvebycross multiplicationo method

Answer»

A²/x-b²/y=0---------1a²b/x+b²a/y=a+b---2

Now from eq. 2,=> ab(a/x+b/y)=a+b=> a/x+b/y=a+b/ab ----- x b ( multiplying b) => ab/x+b²/y=a+b/a (after = b&b gets cancelled as one was in numerator and one was in denominator)

Equating eqs. 1 & 2,a²/x-b²/y=0ab/x+b²/y=a+b/a----------------------------=> a²/x + ab/x= 0 + a+b/a=> a²+ab/x=a+b/a=> a(a+b/x)=a+b/a. (a+b & a+b gets cancelled)=> x=a²

Therefore, x=a² (ans)



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