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