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Find the length of tangent, subtangent normal and subnormal to `y^2=4ax` at `(at^2,2at)`

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Find the equations of the tangent and normal lines to the following cu...

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  2. Find the equations of the tangent to the given curves at the indicate...

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  3. Find the length of tangent, subtangent normal and subnormal to y^2=4ax...

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  4. Find the equation of the tangent to the ellipse (x^2)/a^2+(y^2)/(b^2) ...

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  5. Find the equations of the tangent and the normal to the curve x^2/a^2-...

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  6. Find the equation of the normal to the curve ay^2 =x^3 at (am^2 ,am^3)

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  7. Find the equation of the tangent to the curve 2x^(2)-y=-7, which is pa...

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

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

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

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  11. Find the equations of the tangents to the curve: y = x^3 + 2 x -4. Whi...

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

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  13. Find the equations of the normals to the curve: 3x^2-y^2=8, which are ...

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  14. If the normal at any point on the curve x^(2//3) + y^(2//3) = a^(2//3)...

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  15. Find the equation of the normal to curve x^2 = 4y which passes through...

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  16. Find the equation of the normal to the curve: y^2 = 4x, which passes t...

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  17. Find the equation of the tangent to the curve: y = x^2 - 2x + 9, which...

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  18. Find the equation of tangent to the curve y = x^3 - 2x^2 - 2x at which...

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

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  20. Find the equation of the tangents to the function y = 4x^3 - 3x + 5, w...

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