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If the curve y^(2) = x and xy = k are or...

If the curve `y^(2) = x and xy = k` are orthogonal then prove that `8k^(2) =1`

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The correct Answer is:
`(1)/(8) (or) 8 k^(2)=1`
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FULL MARKS-APPLICATIONS OF DIFFERENTIAL CALCULUS -ADDITIONAL QUESTIONS SOLVED
  1. Prove that the curves 2x^(2)+4y^(2)=1 and 6x^(2)-12y^(2)=1 cut each ot...

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  2. Show that the equation of the normal to the curve x=a cos ^(3) theta, ...

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  3. If the curve y^(2) = x and xy = k are orthogonal then prove that 8k^(2...

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  8. Find 'C' of Lagrange's mean value theorem for the function f(x) =x^(3)...

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  9. The Taylor's series expension of f(x)=sin x "about" x=(pi)/(2) is obta...

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  10. Obatin the Maclaurin's series expansion for the following function . ...

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  11. Evaluate underset(x rarr (pi)/(2))(lim) (log sin x)/((pi - 2x)^(2))

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  12. Evaluate: underset (xrarr0) lim (cot x) ^(sin x)

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  13. underset (x rarr infty) lim(log x^(x))/(x)

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  14. underset(x rarr0)lim x^(2)log e^(x)

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  15. Evaluate underset(x rarr 1)(lim) x^((1)/(x-1))

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  16. underset (xrarr0)lim (cos x) ^(x)

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  17. Find the absolute maximum and absolute minimum values of f on the give...

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  18. f(x)=x^(3)-12x+1, [-3, 5]

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  19. f(x)=(x)/(x+1), [1,2]

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  20. Find the absolute maximum and absolute minimum values of f on the give...

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