Question

Solve by cross-multiplication :
x/a=y/b ax+ by = (a2 + b2).
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Answer 1

x/a=y/b => bx - ay = 0…..(1)

ax+by=(a^2+b^2) => ax+by-(a^2+b^2) =0……..(2)

-a …….. 0 …….. ……b .……..-a

b ……-(a^2+b^2)…..a ……….b

x/a(a^2+b^2) = y/b(a^2+b^2) = 1/(b^2+a^2)

x/a(a^2+b^2) =1/(a^2+b^2)

So x= a.

y/b(a^2+b^2) = 1/(a^2+b^2)

So y = b.