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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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RD SHARMA ENGLISH-TANGENTS AND NORMALS-All Questions
  1. Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the po...

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  2. Show that the line x/a+y/b=1 touches the curve y=b e^(-x/a) at the p...

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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 equation of the normal to the curve y=2x^2+3sinxa tx=0.

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  5. Find the coordinates of the points on the curve y=x^2+3x+4, the tangen...

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  6. Find the equations of the tangents drawn to the curve y^2-2x^2-4y+8=0....

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

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  8. Find the equation of the tangent line to the curve y=sqrt(5x-3)-2 whic...

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  9. Find the points on the curve 4x^2+9y^2=1 , where the tangents are perp...

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  10. Find the points on the curve 9y^2=x^3 where normal to the curve makes ...

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  11. Prove that the curves x y=4 and x^2+y^2=8 touch each other.

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  12. Prove that the curves y^2=4x and x^2+y^2-6x+1=0 touch each other at th...

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  13. Show that the angle between the tangent at any point P and the line jo...

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  14. Find the slopes of the tangent and the normal to the curve x^2+3 y2=5 ...

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  15. Show that the tangents to the curve y=x^3-3 at the points where x=2 a...

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

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  17. The slope of the curve 2y^2=a x^2+ba t(1,-1) is -1 Find a , b

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  18. Find the points on the curve y=x^3-2x^2-x at which the tangent lines a...

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  19. At what points on the curve x^2+y^2-2x-4y+1=0, the tangents are parall...

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  20. Find the required point be P(x1, y1)dot The tangent to the curve sqrt(...

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