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Find the equation of the tangents to the...

Find the equation of the tangents to the curve :
`y=x^(3)+2x-4`,
Which are perpendicular to line `x+14y+3=0.`

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The correct Answer is:
`14x-y-20=0, 14x-y+12=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 line to the curve y=x^2-2x+7 which...

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  2. Find the equation of the tangent line to the curve y=x^2-2x+7 which...

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

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  4. Find the equation of the normals to the curve y=x^3+2x+6which are par...

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  5. Find the equation(s) of normal(s) to the curve 3x^2-y^2=8 which is (ar...

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  6. Find the equations of the normals to the curve : 2x^(2)-y^(2)=14, whic...

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  7. If a normal of curvex^(2//3)+y^(2//3)=a^(2//3) makes an angle phi from...

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  8. (i) Find the equation of the normal to the curve : x^(2)=4y, which pas...

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  9. Find the equation of the tangent to the curve : y=3x^(2)-2x+5, which i...

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  10. Find the points on the curve x^3-2x^2-2x at which the tangent li...

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  11. Find the equation of the tangent to the curve y=sqrt(5x-3), which is ...

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

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

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

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

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

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

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

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

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

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