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Find the point on the curve y=x^(3) wher...

Find the point on the curve `y=x^(3)` where the slop of the tangent is equal to x-coordinate of the point.

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The correct Answer is:
`(0,0), ((1)/(3),(1)/(27))`
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CHHAYA PUBLICATION-TANGENT AND NORMAL -SHORT ANSWER TYPE QUESTIONS
  1. The slope of tangent to the ellipse x^(2)+4y^(2)=4 at the point (2 cos...

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  2. Find the equation of the tangnet to the curve y=sqrt(3x-2) which is pa...

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  3. Find the point on the curve y=x^(3) where the slop of the tangent is e...

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  4. Using calculus find the cordinates of the point on the parabola y^(2)=...

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  5. Find the eqauations of the tangent to the ellipse 4x^(2)+9y^(2)=36 at ...

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  6. Find the equation of the tangent to the parabola y^(2)=8x which is inc...

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  7. Find the equation of the tangent to the ellise x^(2)+16y^(2)=16 at the...

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  8. Find the equation of the tangnet to the hyperbola 3x^(2)-4y^(2)=12, wh...

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  9. Prove the equation of the tangent from any point on the line 3x-8y+2=0...

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  10. If the length of the length drawn from (f,g) to the circle x^(2)+y^(2...

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  11. Show that the equation of the normal to the ellipse (x^(2))/(25)+(y^(2...

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  12. Show that the equation of the normal to the hyperbola (x^(2))/(a^(2))-...

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  13. Find the equation of normal to the hyperbola x^(2)-y^(2)=16 " at " (4...

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  14. Find the equation of normal to the parabola y^(2)=4x, paralle to the s...

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  15. Find the equation of normal to the ellipse x^(2)+4y^(2)=4 at (2 ,1).

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  16. Find the equation of that normal to the parabola x^(2)=4ay which maeks...

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  17. Find the eqaution of that normal to the hyperbola 3x^(2)-2y^(2)=10 at ...

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  18. Find the equation of normal to the parabola y^(2)=12x at (3t^(2),6t)....

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  19. Prove that the normals at the points (1,2) and (4,4) of the parbola y...

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  20. Find the equation of the normal to the hyperbola x^(2)=4y drawn at (2,...

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