Home
Class 12
MATHS
If sin x = (2t)/(1+t^(2)), tan y = (2t)/...

If `sin x = (2t)/(1+t^(2)), tan y = (2t)/(1-t^(2))`, then `(dy)/(dx)` is equal to

A

1)1

B

2)0

C

3)`-1`

D

4)2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • II PUC MATHEMATICS SUPPLEMENTARY EXAM QUESTION PAPER JULY - 2017

    SUNSTAR PUBLICATION|Exercise PART-E|2 Videos

  • K-CET-MATHEMATICS - 2014

    SUNSTAR PUBLICATION|Exercise MCQs|59 Videos

Similar Questions

Explore conceptually related problems

if sinx =(2t)/(1+t^(2)) , tany= (2t)/(1- t^(2)) then (dy)/(dx) is equal to

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

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

If y = e^(sin^(-1)(t^(2)-1)) & x = e^(sec-1((1)/(t^(2-1))) then (dy)/(dx) is equal to

If tan^(-1)(x^(2)+y^(2))=alpha then (dy)/(dx) is equal to

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

If x=a(t-(1)/(t)) , y=a(t+(1)/(t)) then (dy)/(dx) =

SUNSTAR PUBLICATION-K-CET- MATHEMATICS - 2017-MCQs
  1. If y=tan^(-1)((sin x + cos x)/(cos x - sin x)), then (dy)/(dx) is equa...

    Text Solution

    |

  2. If y=|(f(x),g(x),h(x)),(1,m,n),(a,b,c)|, then (dy)/(dx) is equal to

    Text Solution

    |

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

    Text Solution

    |

  4. The derivative of cos^(-1)(2x^(2)-1) w.r.t cos^(-1) x is

    Text Solution

    |

  5. If y = log (log x) then (d^(2)y)/(dx^(2)) is equal to

    Text Solution

    |

  6. int((x+3)e^(x))/((x+4)^(2))dx is equal to

    Text Solution

    |

  7. Evalute : int (cos 2 x - cos2 alpha)/(cos x - cos alpha)dx.

    Text Solution

    |

  8. int sqrt(x^(2)+2x+5)dx is equal to

    Text Solution

    |

  9. int(0)^(pi//2)(tan^(7)x)/(cot^(7)x + tan^(7)x)dx is equal to

    Text Solution

    |

  10. int(-5)^(5)|x+2|dx is equal to

    Text Solution

    |

  11. int(-pi//2)^(pi//2)(dx)/(e^(sin x)+1) is equal to

    Text Solution

    |

  12. int(0)^(pi//2)(1)/(a^(2).sin^(2)x+b^(2).cos^(2)x)dx is equal to

    Text Solution

    |

  13. Find the area of the region bounded by the curve y = x^(2) and the lin...

    Text Solution

    |

  14. Area of the region bounded by the curve y = cos x, x = 0 and x = pi is

    Text Solution

    |

  15. The degree of the differential equation [1+((dy)/(dx))^(2)]^(2)=(d^(2)...

    Text Solution

    |

  16. General solution of differential equation (dy)/(dx)+y=1(y ne 1) is

    Text Solution

    |

  17. The integrating factor of the differential equation x.(dy)/(dx)+2y=x^(...

    Text Solution

    |

  18. If vec(a)=2hat(i)+lambda hat(j)+hat(k) and vec(b)=-hat(i)+2hat(j)-3hat...

    Text Solution

    |

  19. If vec(a),vec(b),vec(c ) are unit vectors such that vec(a)+vec(b)+vec(...

    Text Solution

    |

  20. If veca and vec b are unit vectors, then what is the angle between vec...

    Text Solution

    |