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  • The straight line   touches the parabola  <img alt="\mathrm{y=x-x^2}

The straight line \mathrm{x+y=k}  touches the parabola  \mathrm{y=x-x^2} , if  k  is equal to 

Option: 1

0


Option: 2

-1


Option: 3

1


Option: 4

none of these


Answers (1)

best_answer

For the given line to touch the given parabola, the roots of the equation \mathrm{k-x=x-x^2} i.e. of \mathrm{x^2-2 x+k=0} must be equal.

\mathrm{\therefore \quad 4-4 k=0 \Rightarrow k=1 \text {. } }

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Ritika Harsh

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