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A line makes intercepts a and b with ...

A line makes intercepts ` a ` and `b` with the coordinate axes. If the coordinate system is rotatedthrough ` 45^@ ` clockwise and the intercepts on the new system become `A ` and ` B,` then which one is true: (i) `1/a^2+1/b^2=1/A^2+1/B^2` (ii) `a^2+b^2=A^2+B^2` (iii) `aA=bB` (iv) none of these

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