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Find the equation of all lines having sl...

Find the equation of all lines having slope `-1` that are tangents to the curve `y=(1)/(x-1), x ne 1`.

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The correct Answer is:
`x+y+1=0` and `x+y-3=0`
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -EXERCISE - 6.3
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  2. Find the point on the curve y=x^(3)-11x+5 at which the tangent is y=x-...

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  3. Find the equation of all lines having slope -1 that are tangents to th...

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  4. Find the equation of all lines having slope 2 which are tangents to th...

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  5. Find the equations of all lines having slope 0 which are tangent to th...

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  6. Find points on the curve (x^(2))/(9)+(y^(2))/(16)=1 at which the tange...

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  7. Find the equations of the tangent and normal to the given curves at th...

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  8. Find the equations of the tangent and normal to the given curves at th...

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  9. Find the equations of the tangent and normal to the given curves at th...

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  10. Find the equations of the tangent and normal to the given curves at th...

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  11. Find the equations of the tangent and normal to the given curves at th...

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  12. Find the equation of the tangent line to the curve y = x^(2) – 2x +7 w...

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  13. Show that the tangents to the curve y=7x^(3)+11 at the point where x =...

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  14. Find the points on the curve y=x^(3) at which the slope of the tangent...

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  15. For the curve y=4x^(3)-2x^(5), find all the points at which the tangen...

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  16. Find the points on the curve x^(2)+y^(2)-2x-3=0 at which the tangents ...

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  17. Find the equation of the normal at the point (am^(2), am^(3)) for the ...

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  18. Find the equation of the normals to the curve y=x^(3)+2x+6 which are p...

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  19. Find the equations of the tangent and normal to the parabola y^(2)=4ax...

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  20. Prove that the curves x=y^(2) and xy = k cuts at right angles if 8k^(2...

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