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Show that the curves x = y^2 and xy = k ...

Show that the curves `x = y^2` and `xy = k` cut at right angles; if `8k^2 = 1`

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MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-NCERT - FILE (Question from NCERT Book) (Exercise 6.3)
  1. Find a point on the curve y=(x-2)^(2) at which the the tangent is para...

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  2. Find the point on the curve y=x^(3)+5 at which the tangent is parallel...

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  3. Find the equation of all lines having slope -3 that are tangents to th...

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  4. Find the equation of all lines having slope 2 which are tangents to t...

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  5. Find the equations of all lines having slope 0 which are tangent to t...

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  6. Find points on the curve (x^(2))/(9) +(y^(2))/(25)=1 at which the tang...

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  7. Find the equations of the tangent and normal to the given curves at th...

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  8. Find the equation of the tangent line to the curve y=x^(2)-2x+7 which ...

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  9. Show that the tangents to the curve y=2x^3-3 at the points where x=...

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  10. Find the points on the curve y=x^(3)-3x at which the tangents are para...

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  11. For the curve y=4x^3-2x^5,find all the points at which the tangent pa...

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  12. Find the points on the curve y=(x-2)^2 at which the tangents are paral...

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  13. Find the equation of the normal at the point (a m^2,a m^3)for the curv...

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  14. Find the equation of the normals to the curve y=x^3+2x+6which are par...

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  15. Find the equations of the tangent and normal to the parabola y^2=4a x...

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  16. Show that the curves x = y^2 and xy = k cut at right angles; if 8k^2 =...

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  17. Find the equation of the tangent to the hyperbola (x^(2))/(a^(2))-(y^(...

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  18. Find the equation of the tangent to the curve y=sqrt(3x-2), which is p...

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  19. The slope of the normal to the curve y=2x^(2)+3sin x at x=0 is :

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  20. The line y = x + 1is a tangent to the curve y^2=4xat the point(A) (1...

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