1.

The graph of `(y-x)` against `(y+x)` is shown below. Which one of the following shows the graph of `y` against `x` ?

Answer» From the graph of `(y-x)` against `(y+x)`, we have
`" "(y-x)/(y+x)= k (k gt 1)`
`rArr" "y-x=k(y+x)`
`rArr" "y(1-k)=x(1+k)`
`rArr" "y= ((1+k)/(1-k))x`
Now `" "(1+k)/(1-k)lt -1`
Hence the graph is the one which has slope less then -1, and the angle of the line is less than `135^(@)` with the positive `x`-axis.
Hence, the correct option is (c).


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