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Write the coordinates of the point on the curve `y^2=x` where the tangent line makes an angle `pi/4` with x-axis.

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RD SHARMA ENGLISH-TANGENTS AND NORMALS-All Questions
  1. If the tangent line at a point (x ,\ y) on the curve y=f(x) is para...

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  2. Find the slope of the normal at the point ' t ' on the curve x=1/t ...

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  3. Write the coordinates of the point on the curve y^2=x where the tan...

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  4. Write the angle made by the tangent to the curve x=e^tcost , y=e^tsi...

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  5. Write the equation of the normal to the curve y=x+sinxcosx at x=pi/...

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  6. Find the coordinates of the point on the curve y^2=3-4x where tange...

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  7. Write the equation of the tangent to the curve y=x^2-x+2 at the poin...

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

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

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

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

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

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

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

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

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

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

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

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

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

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