Question

If x varies as y then show that x2+y2 varies x2-y2
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Answer 1

Answer:

c

Step-by-step explanation:

The answer is c

If x proportional to y then,

x=ky(where k is proportionality constant

x/y=k

x²/y²=k²

x²+y²/x²-y²=k²+1/k²-1 (componendo Dividendo)

x²+y²=(k²+1/k²-1)(x²-y²)

I.e. x²+y² is proportional to x²-y² where k²+1/k²-1 is new proportionality constant