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Show that the normal to the curve 5x^(5)...

Show that the normal to the curve `5x^(5)-10x^(3)+x+2y+6=0` at `P(0,-3)` intersects the curve again in two points. Also find these points.

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The correct Answer is:
`(1,-1),(-1,-5)`
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -PRACTICE WORK
  1. Prove that the curves x^(2)+y^(2)=ax and x^(2)+y^(2)=by are cuts ortho...

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  2. Find the equation of the tangent and normal to the curve y^(2)(a+x)=x^...

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  3. Show that the normal to the curve 5x^(5)-10x^(3)+x+2y+6=0 at P(0,-3) i...

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  4. Show that a point at which the line (x)/(a)+(y)/(b)=1 touches to the c...

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  5. A line x cos alpha + y sin alpha = P is a tangent to the curve (x^(2))...

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  6. Find the equations of the tangent to the curve y=cos(x+y) which is par...

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  7. Find the points on the curve x^(2)y^(2)+xy=2 at which the slope of the...

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  8. The slope of the tangent to the curve xy+ax+by=2 at a point (1, 1) the...

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  9. Prove that all points on the curve y^(2)=4a[x+a sin((x)/(a))] at which...

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  10. Find the equation of the normal to the curve y=(1+x)^(y)+sin^(-1)(sin^...

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  11. If the curves (x^(2))/(a^(2))+(y^(2))/(4)=1 and y^(3)=16x intersect at...

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  12. Find the equations of the tangents drawn to the curve y^(2)-2x^(3)-4y+...

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  13. Find the approximate value of each of the following : sqrt(399)

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  14. Using differentials, find the approzimate value of each of the followi...

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  15. Using differentials, find the approximate value of each of the up to 3...

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  16. Find the approximate value of each of the following : cos 29^(@)

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  17. Find the approximate value of each of the following : tan 31^(@)

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  18. Find the approximate value of each of the following : log(e )(100...

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  19. Find the approximate value of each of the following : (15.5)^((1)...

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  20. Using differentials, find the approximate value of each of the up to 3...

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