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  •  The equation of the common tangent to the curves  and <img alt="\math

 The equation of the common tangent to the curves \mathrm{y^2=8 x } and \mathrm{x y=-1 }, is
 

Option: 1

\mathrm{ 3 y=9 x+2}


Option: 2

\mathrm{ y=2 x+1}


Option: 3

\mathrm{ 2 y=x+8}


Option: 4

\mathrm{ y=x+2}


Answers (1)

best_answer

General equation of tangent to the curve \mathrm{y^2=8 x} is \mathrm{ y=m x+\frac{2}{m}} Now on solving it with \mathrm{x y=-1}, put discriminant =0
\mathrm{x\left(m x+\frac{2}{m}\right)=-1 \Rightarrow m=1}

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Divya Prakash Singh

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