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Find the equations of tangent and normal to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` at `(x_1,y_1)`

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The correct Answer is:
`(xx_(1))/(a^(2))+(yy_(1))/(b^(2))=1`
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MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE 6 (c) (Long Answer Type Questions (I))
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  3. Find the equations of tangent and normal to the ellipse (x^2)/(a^2)+(y...

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  4. Find the equations of the tangent and the normal to the curve (x^2)...

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  5. Find the equation of the normal to the curve ay^(2)=x^(3) at the point...

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

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  7. Find the equation of the tangent to the curve y=sqrt(3x-2), which is p...

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

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

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

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

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

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

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

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

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

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

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

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

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

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