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The equation to the normal to the cur...

The equation to the normal to the curve `y=sinx` at `(0,\ 0)` is `x=0` (b) `y=0` (c) `x+y=0` (d) `x-y=0`

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Given,`y=sinx`
`dy/dx​=cosx`
`(dy/dx)_​(0,0)​=cos0=1 `
Eq. of normal: ...
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RD SHARMA-TANGENTS AND NORMALS-Solved Examples And Exercises
  1. Write the coordinates of the point at which the tangent to the curv...

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

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

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

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

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

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

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

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

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

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  11. The equation of the normal to the curve 3x^2-y^2=8 which is paralle...

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

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

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

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

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

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  17. If the line y=x touches the curve y=x^2+b x+c at a point (1,\ 1) then ...

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  18. The slope of the tangent to the curve x=3t^2+1 , y=t^3-1 at x=1 is ...

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  19. The curves y=a e^x and y=b e^(-x) cut orthogonally, if a=b (b) a=-b (c...

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  20. The equation of the normal to the curve x=a\ cos^3theta,\ \ y=a\ s ...

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