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Write the angle between the curves y=...

Write the angle between the curves `y=e^(-x)` and `y=e^x` at their point of intersection.

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RD SHARMA ENGLISH-TANGENTS AND NORMALS-All Questions
  1. Write the equation of the tangent to the curve y=x^2-x+2 at the poin...

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  2. Write the angle between the curves y^2=4x and x^2=2y-3 at the point...

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  3. Write the angle between the curves y=e^(-x) and y=e^x at their poin...

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  4. Write the slope of the normal to the curve y=1/x at the point (3,1/...

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  5. Write the coordinates of the point at which the tangent to the curv...

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  6. Write the equation of the normal to the curve y=cosx at (0,\ 1) .

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  7. The equation to the normal to the curve y=sinx at (0,\ 0) is (a)x=0...

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  8. Find the equation of the tangent to the curve y=x-sinxcosx at x=pi/2

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  9. The equation of the normal to the curve y=x(2-x) at the point (2,\ 0...

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  10. The point on the curve y^2=x where tangent makes 45^o angle with x-axi...

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  11. If the tangent to the curve x=a\ t^2,\ \ y=2a t is perpendicular to ...

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  12. The point on the curve y=x^2-3x+2 where tangent is perpendicular to ...

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  13. The point on the curve y=12 x-x^2 where the slope of the tangent is...

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  14. The angle between the curves y^2=x and x^2=y at (1,\ 1) is tan^(-1)4...

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  15. The equaiton of the normal to the curve 3x^(2) - y^(2) = 8 which is ...

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  16. The equation of tangent at those points where the curve y=x^2-3x+2 m...

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  17. The slope of the tangent to the curve x=t^2+3t-8,\ \ y=2t^2-2t-5 at ...

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  18. At what points the slope of the tangent to the curve x^2+y^2-2x-3=0 ...

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  19. The angle of intersection of the curves x y=a^2 and x^2-y^2=2a^2 is ...

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  20. If the curve a y+x^2=7 and x^3=y cut orthogonally at (1,\ 1) , then a ...

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