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Find the locus of the point `(t^2-t+1,t^2+t+1),t in Rdot` |
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Answer» Let `(h,h)-=(t^2-t+1,t^2+t+1)` or `h=t^2-t+1` and `k=t^2+t+1` or `k-h=2t` or `t=(k-h)/(2)` or `h=((k-h)/(2))^(2)-((k-h)/(2))+1` The required locus is `x=((x-y)/(2))^2-((y-x)/(2))+1` |
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