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Find the equation of the tangent to the ...

Find the equation of the tangent to the curve.
`y=x^(3)+3x^(2)-5` and which is perpendicular to `2x-6y+1=0`

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The correct Answer is:
`3x+y+6=0`
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AAKASH SERIES-TANGENT AND NORMAL -ADVANCED SUBJECTIVE TYPE QUESTIONS
  1. Find the equation of the tangent to the curve. 4x^(2)+9y^(2)=40 and ...

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  2. Find the equation of the tangent to the curve. 9x^(2)+16y^(2)=52 and...

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  3. Find the equation of the tangent to the curve. y=x^(3)+3x^(2)-5 and ...

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  4. Find the points on the curve at which the tangents to the curve. y=x...

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  5. Points at which the tangents to the hyperbola y=(x-1)/(x+1) are parlle...

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  6. The point on the curve x^4-4x^3+4x^2+1 at which the tangent is paralle...

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  7. The points on the curve 2a^2y=-x^3-3ax^2 at which the tangent is perpe...

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  8. The points of contact of the tangents drawn from origin to the curve 3...

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  9. Find the point of contact of the tangents drawn from origin to the cur...

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  10. Tangent at any point of the curve ((x)/(a))^(2//3)+((y)/(b))^(2//3)=1 ...

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  11. Show that the part of the tangent to the curve xy=a^(2) included betwe...

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  12. The area of the triangle formed by the tangent and the normal at the p...

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  13. Show that the following curves cut orthogonally x^(2)+y^(2)=25,2x^(2...

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  14. Show that the following curves cut orthogonally 4y^(2)-x^(2)=8, 2x^(...

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  15. Find the angle between the curves y=2x,x^(3)+y^(3)=6xy

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  16. Find the angle between the curves x^(2)+y^(2)=4,x^(2)=3y

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  17. Find the angle between the curves y^(2)=8x,x^(2)=4y-12

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  18. Find the length of the tangent, length of the normal, the subtangent, ...

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  19. Find the length of the tangent, length of the normal, the subtangent, ...

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  20. Show that in the curve y=a log(x^(2)-a^(2)) the sum the lengths of th...

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