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If x = sqrt(a^(sin^(-1)t)), y= sqrt(a^(c...

If `x = sqrt(a^(sin^(-1)t)), y= sqrt(a^(cos^(-1)t))`, show that `(dy)/(dx)= -(y)/(x)`

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The correct Answer is:
`-(y)/(x)`
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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Exercise-5.6
  1. If x and y are connected parametrically by the equations without elimi...

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  2. If x and y are connected parametrically by the equations without elimi...

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  3. If x and y are connected parametrically by the equations without elimi...

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  4. If x and y are connected parametrically by the equations given in Exer...

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  5. If x and y are connected parametrically by the equations given in Exer...

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  6. The length of tangent to the curve x=a(cost+log tan.(t)/(2)),y=a(sint)...

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  7. If x and y are connected parametrically by the equations given in Exer...

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  8. If x and y are connected parametrically by the equations without elimi...

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  9. If x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(-1)t)),a gt 0and -1 lt t lt 1...

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  10. If x and y are connected parametrically by the equations without elimi...

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  11. If x and y are connected parametrically by the equations without elimi...

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  12. If x and y are connected parametrically by the equations without elimi...

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  13. If x and y are connected parametrically by the equations without elimi...

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  14. If x and y are connected parametrically by the equations without elimi...

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  15. If x and y are connected parametrically by the equations given in Exer...

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  16. If x and y are connected parametrically by the equations given in Exer...

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  17. If x and y are connected parametrically by the equations without elimi...

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  18. If x and y are connected parametrically by the equations given in Exer...

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  19. If x and y are connected parametrically by the equations without elimi...

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  20. If x = sqrt(a^(sin^(-1)t)), y= sqrt(a^(cos^(-1)t)), show that (dy)/(dx...

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