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If the tangent to the curve y=x^(3)+ax+b...

If the tangent to the curve `y=x^(3)+ax+b` at (1,-6) is paralle to the line `x-y+5=0`, find the a and b.

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The correct Answer is:
`a=-2, b=-5`
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CHHAYA PUBLICATION-TANGENT AND NORMAL -SHORT ANSWER TYPE QUESTIONS
  1. Show that the equation of the normal to the hyperbola x= a sec theta,...

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  2. Find the equation of tangent to the circle x^(2)+y^(2)=a^(2) at the po...

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  3. If the tangent to the curve y=x^(3)+ax+b at (1,-6) is paralle to the l...

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  4. The slope to the tangent to the parabola 3y^(2)=8x at the point ((2)/(...

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  5. Find the equations of the tangents to the circle x^(2)+y^(2)=16 having...

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  6. The slope of tangent to the ellipse x^(2)+4y^(2)=4 at the point (2 cos...

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  7. Find the equation of the tangnet to the curve y=sqrt(3x-2) which is pa...

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  8. Find the point on the curve y=x^(3) where the slop of the tangent is e...

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  9. Using calculus find the cordinates of the point on the parabola y^(2)=...

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  10. Find the eqauations of the tangent to the ellipse 4x^(2)+9y^(2)=36 at ...

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  11. Find the equation of the tangent to the parabola y^(2)=8x which is inc...

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  12. Find the equation of the tangent to the ellise x^(2)+16y^(2)=16 at the...

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  13. Find the equation of the tangnet to the hyperbola 3x^(2)-4y^(2)=12, wh...

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  14. Prove the equation of the tangent from any point on the line 3x-8y+2=0...

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  15. If the length of the length drawn from (f,g) to the circle x^(2)+y^(2...

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  16. Show that the equation of the normal to the ellipse (x^(2))/(25)+(y^(2...

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  17. Show that the equation of the normal to the hyperbola (x^(2))/(a^(2))-...

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  18. Find the equation of normal to the hyperbola x^(2)-y^(2)=16 " at " (4...

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  19. Find the equation of normal to the parabola y^(2)=4x, paralle to the s...

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  20. Find the equation of normal to the ellipse x^(2)+4y^(2)=4 at (2 ,1).

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