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Find the equations of the normal to the curve `y=x^3+2x+6` which are parallel to the line `x+14 y+4=0.`

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The correct Answer is:
`x+14y-254=0, x+14y+86=0`
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MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE 6 (c) (Long Answer Type Questions (I))
  1. Find the equation of the tangent to the curve y=sqrt(5x-3), which is ...

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  2. Find the equations of tangent lines to the curve y=4x^3-3x+5, which ar...

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  3. Find the equations of the normal to the curve y=x^3+2x+6 which are par...

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  4. Find the equation of the normal to the curve : y=x^(3)+5x^(2)-10x+10, ...

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  5. Find the equations of the normal to the curve y=4x^(3)-3x+5, which are...

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  6. Find the equation of tangent to the curve given byx=asin^3t ,y=bcos^3t...

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  7. Find the equation of the tangent at t=(pi)/(4) to the curve : x=sin 3t...

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  8. Find the point(s) on the curve : (i) y=3x^(2)-12x+6 (ii) x^(2)+y^...

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  9. Find the point(s) on the curve : (i) y=(1)/(4)x^(2), where the slope...

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  10. Find the point on the curve y=x^3-11 x+5 at which the tangent is y"...

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  11. For the curve y=4x^3-2x^5,find all the points at which the tangent pa...

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  12. Find the points on the following curve at which the tangents are paral...

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  13. At what point on the circle x^2+y^2-2x-4y+1=0, the tangent is parallel...

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  14. Find points on the curve (x^2)/4+(y^2)/(25)=1at which the tangents ar...

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  15. Show that the tangents to the curve y=7x^3+11 at the points x=2 and...

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  16. Find the equations of all lines having slope 0 which are tangent to t...

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  17. Find the equations of all lines : having slope -1 and that are tange...

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  18. Find the equations of all lines having slope 2 and that are tangent...

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  19. Find the point of intersection of the tangent lines to the curve y=2x^...

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  20. Prove that the tangents to the curve y=x^2-5x+6 at the points (2, 0...

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