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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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NCERT GUJARATI-APPLICATION OF DERIVATIVES-EXERCISE 6.3
  1. Find the equations of all lines having slope 0 which are tangent to t...

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  2. Find points on the curve x^2/9 + y^2/16 = 1 at which the tangents are ...

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

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  4. find the equation of the tangent and normal to the given curves...

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  5. Find a point on the curve y = x^(3), where the tangent to the curve is...

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  6. Find the equations of the tangent and the normal to the curve y=x^2...

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  7. Find the equations of the tangent to the given curves at the indicated...

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

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  9. Show that the tangents to the curve y=7x^3+11at the points where x = ...

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  10. Find the points on the curve y=x^3 at which the slope of the tan...

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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 x^2+y^2-2x-3=0at which the tangents are ...

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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 equations of the tangent and normal to the hyperbola (x^2)/(...

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

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

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

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