Home
Class 12
MATHS
If x^(2) + y^(2) =t - (1)/(t) and x^(4)...

If `x^(2) + y^(2) =t - (1)/(t) and x^(4) + y^(4) = t^(2) + (1)/(t^(2)) " then " x^(3)y (dy)/(dx)`= ……

A

`-1`

B

0

C

1

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice Work|96 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise NCERT Exemplar Problems and Solution (Short Answer Type Questions)|156 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Miscellaneous Exercise - 5|46 Videos

  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

If x^(2)+y^(2)=t-(1)/(t)andx^(4)+y^(4)=t^(2)+(1)/(t^(2)), then ((dy)/(dx))_((1.1)) is…………

If x=e^(-t^(2)), y=tan^(-1)(2t+1) , then (dy)/(dx)=

x= f(t), y= phi (t) then (d^(2)y)/(dx^(2)) = ……..

If x= a t^(2), y= 2 a t" then " (dy)/(dx) = …., where t ne 0

Find (dy)/(dx) : x=t + (1)/(t) and y= t - (1)/(t)

If x= t^(2) and y= t^(3) , then (d^(2)y)/(dx^(2)) is equal to

If x= t^(2) and y= t^(3) , then (d^(2)y)/(dx^(2)) is equal to

If x=sin^(-1)((2t)/(1+t^(2)))andy=tan^(-1)((2t)/(1-t^(2))), then prove that (dy)/(dx)=1 .

KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Textbook based MCQs
  1. f(x)= x + tan x and f is an inverse function of g then g'(x)= ……..

    Text Solution

    |

  2. If y^(2)= p(x) the is polynomial of order 3, then 2(d)/(dx) [y^(3) (d^...

    Text Solution

    |

  3. If x^(2) + y^(2) =t - (1)/(t) and x^(4) + y^(4) = t^(2) + (1)/(t^(2))...

    Text Solution

    |

  4. If sin y= x sin (a+ y) and (dy)/(dx)= (A )/(1 + x^(2)-2x cos a) then t...

    Text Solution

    |

  5. f(x+y) = f(x) + f(y), "for " AA x and y and f(x)= (2x^(2) + 3x) g(x). ...

    Text Solution

    |

  6. y= sin x- cos x and f(x)= (d^(17)y)/(dx^(17)) " then " f((pi)/(4))= ……...

    Text Solution

    |

  7. y= tan^(-1) ((ax-b)/(bx + a)) " then " (dy)/(dx)|(x= -1)= ………

    Text Solution

    |

  8. u= f (tan x), v= g(sec x), f'(1) =2 and g'(sqrt2)= 4 " then " (du)/(d...

    Text Solution

    |

  9. f(x)= sin^(2)x + sin^(2) (x + (pi)/(3)) + cos x cos (x + (pi)/(3)) a...

    Text Solution

    |

  10. y= e^(3x + 7) " then " y(n) (0)=……..

    Text Solution

    |

  11. x= f(t), y= phi (t) then (d^(2)y)/(dx^(2))= ……..

    Text Solution

    |

  12. In the function f(x)= 2x^(3) + bx^(2) + qx satisfies conditions of Rol...

    Text Solution

    |

  13. If y= (a + bx)/(c + dx), where a, b, c, d are constants and lamda y(1)...

    Text Solution

    |

  14. The function f(x)= (2- root(4)(x^(2) +16))/(cos 2x-1) is continuous at...

    Text Solution

    |

  15. Let f(x)= x^(3)-x^(2) + x + 1 g(x) = max I {f(t), 0 le t le x}, 0 le x...

    Text Solution

    |

  16. f(x)= |(sin x,cos x),(tan x,cot x)| then f'((pi)/(4))= …….

    Text Solution

    |

  17. x= t^(2) + 3t- 8,y= 2t^(2) -2t- 4. If at point (2, -1), lamda = (dy)/(...

    Text Solution

    |

  18. x=2 + t^(3), y= 2t^(2). If ((d^(2)y)/(dx^(2)))/(((dy)/(dx))^(n)) is co...

    Text Solution

    |

  19. If F(x) = (1)/(x^(2)) underset(4)overset(x)int (4t^(2)- 2F'(t))dt then...

    Text Solution

    |

  20. If sqrt(x^(2) + y^(2))=a. e^(tan^(-1)((y)/(x))), a gt 0 then the value...

    Text Solution

    |