Home
Class 11
MATHS
If x^2+y^2=t-1/t and x^4+y^4=t^2+1/t^2, ...

If `x^2+y^2=t-1/t and x^4+y^4=t^2+1/t^2,` then `x^3y (dy)/(dx)=`
(a) `0` (b) `1`(c) `-1` (d) none of these

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

If x^2+y^2=t+1/t and x^4+y^4=t^2+1/t^2 then (dy)/(dx)=

If x^2+y^2= t-1/t and x^4+y^4 = t^2+1/t^2 ,show that , x^3y (dy)/(dx) = 1 .

If x^(2)+y^(2)=t-(1)/(t) and x^(4)+y^(4)=t^(2)+(1)/(t^(2)) , show that, x^(3)y(dy)/(dx)=1

If x e^(x y)-y=sin^2x then (dy)/(dx)a tx=0 is a. 0 b. 1 c. -1 d. none of these

If f^(prime)(x)=sqrt(2x^2-1) and y=f(x^2),t h e n(dy)/(dx) at x=1 is (a)2 (b) 1 (c) -2 (d) none of these

If x^(2)+y^(2)=t+(1)/(t) and x^(4)+y^(4)=t^(2)+(1)/(t^(2)) then show that (dy)/(dx)=-(y)/(x) .

If x^(2)+y^(2)=t+(1)/(t) and x^(4)+y^(4)=t^(2)+(1)/(t^(2)) , then the value of -x^(3)y(dy)/(dx) is -

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

let y=t^(10)+1, and x=t^8+1, then (d^2y)/(dx^2) is

If x=tcost ,y=t+sint . Then (d^2 x)/(dy^2) at t=pi/2 is (a) (pi+4)/2 (b) -(pi+4)/2 (c) -2 (d) none of these

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. If y=xlog"{"x/((a+b x))"}" , then show that x^3(d^2y)/(dx^2)=(x(dy)/(d...

    Text Solution

    |

  2. y=f(x), where f satisfies the relation f(x+y)=2f(x)+xf(y)+ysqrt(f(x)),...

    Text Solution

    |

  3. If x^2+y^2=t-1/t and x^4+y^4=t^2+1/t^2, then x^3y (dy)/(dx)= (a) 0 ...

    Text Solution

    |

  4. Prove that (d^n)/(dx^n)(e^(2x)+e^(-2x))=2^n[e^(2x)+(-1)^n e^(-2x)]

    Text Solution

    |

  5. If e^y(x+1)=1, prove that (d^2y)/(dx^2)=((dy)/(dx))^2

    Text Solution

    |

  6. y=tan^(-1) ((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)) show that dy/d...

    Text Solution

    |

  7. If y=cos^(-1)(cosx),then (dy)/(dx) at x=(5pi)/4 is equal to (a)1 (b)-...

    Text Solution

    |

  8. If y=cos^(-1)(cosx),then (dy)/(dx) at x=(5pi)/4 is equal to (a)1 (b)-...

    Text Solution

    |

  9. If sin^(-1)((x^2-y^2)/(x^2+y^2))=loga ,t h e n(dy)/(dx) is equal to (a...

    Text Solution

    |

  10. If y=tan^(-1)sqrt((x+1)/(x-1)),t h e n(dy)/(dx)i s (a) (-1)/(2|x|sqrt...

    Text Solution

    |

  11. If y=cos^(-1)((5cosx-12sinx)/(13)),w h e r ex in (0,pi/2), then (dy)/...

    Text Solution

    |

  12. The derivative of y=(1-x)(2-x)....(n-x) at x=1 is (a)0 (b) (-1)(n...

    Text Solution

    |

  13. lf y=sqrt((1-x)/(1+x)) find dy/dxand prove that (1-x^2)(dy)/(dx)+y=0

    Text Solution

    |

  14. (d^(20))/(dx^(20))(2cosxcos3x)is equal to (a)2^(20)(cos2x-2^(20)cos3x...

    Text Solution

    |

  15. Differentiate x^2+\ 1 with respect to x .

    Text Solution

    |

  16. Let g(x)={(x^2+xtanx-xtan2x)/(a x+tanx-tan3x),x!=0 0,x=0 If g^(prime...

    Text Solution

    |

  17. Given y= Sin 2x + x^3 , (dy)/(dx)

    Text Solution

    |

  18. Find the derivative of f(x)=e^(4x) + Cos 3x

    Text Solution

    |

  19. A nonzero polynomial with real coefficient has the property that f(x)=...

    Text Solution

    |

  20. Suppose f(x)=e^(a x)+e^(b x) , where a!=b , and that f^(prime prime)(x...

    Text Solution

    |