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

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

Text Solution

Verified by Experts

The correct Answer is:
`1`
Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 9

    ARIHANT PRAKASHAN|Exercise Section C|24 Videos

  • VERY SIMILAR TEST 9

    ARIHANT PRAKASHAN|Exercise Section C|24 Videos

  • VERY SIMILAR TEST 8

    ARIHANT PRAKASHAN|Exercise Section C|25 Videos

Similar Questions

Explore conceptually related problems

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

Find dy/dx, sinx=(2t)/(1+t^2),tany=(2t)/(1-t^2)

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

sinx = 2t/1+t^(2) , tany = 2t/1-t^(2) , find dy/dx .

Find the dy/dx when sin x = (2t)/(1+t^2), tan y = (2t)/(1-t^2)

If sin y=(2t)/(1 + t^2) , cos x= 1/(sqrt(1+t^2)) then show that (dy)/(dx) is independent of t.

If x=(sin^(3)t)/(sqrt(cos2t)) and y=(cos^(3)t)/(sqrt(cos2t)) , then find (dy)/(dx) .

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

ARIHANT PRAKASHAN-VERY SIMILAR TEST 9-Section B
  1. Prove that: y = (4 sin theta)/(2 +cos theta)- theta is an increasing f...

    Text Solution

    |

  2. If xy log(x + y) = 1, then prove that (dy)/(dx) = -(y(x^(2)y + x +...

    Text Solution

    |

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

    Text Solution

    |

  4. Solve (dy)/(dx) + y = cosx - sinx.

    Text Solution

    |

  5. Find the equation of the curve passing through the point (1, 1) whose ...

    Text Solution

    |

  6. Evaluate int(x^(2))/(x^(4)-x^(2)+12)dx.

    Text Solution

    |

  7. Evaluate the following integrals : Evaluate int(0)^(pi//2)(xsinxcosx...

    Text Solution

    |

  8. Find the area bounded by the curve y = x abs(x), X-axis and ordinates ...

    Text Solution

    |

  9. The plane lx+my=0 is rotated about its line of intersection with the p...

    Text Solution

    |

  10. Find the distance of the plane 2x - 3y + 4z - 6 = 0 from the origin an...

    Text Solution

    |

  11. Prove that |veca xx vecb|^(2) = abs(veca)^(2)abs(vecb)^(2) - (veca * v...

    Text Solution

    |

  12. Find the vector equation of a plane which is at a distance of 6 units ...

    Text Solution

    |

  13. If sin{cot^(-1)(x + 1)} = cos(tan^(-1)x), then find x.

    Text Solution

    |

  14. One kind of cake requires 200 g of flour and 25 g of fat and another k...

    Text Solution

    |

  15. Consider f:R(+) to [-5, oo) given by f(x)=9x^(2)+6x-5. Show that f i...

    Text Solution

    |

  16. Let R be a relation on the set A of ordered pairs of positive integers...

    Text Solution

    |

  17. Prove that tan{(pi)/(4)+(1)/(2) "cos"^(-1)(a)/(b)}+tan{(pi)/(4)-(1)/(2...

    Text Solution

    |

  18. Two persons A and B throw a die alternately till one of them gets a th...

    Text Solution

    |

  19. A = [(1, 0), (0, 1)], B = [(1, 0), (0, -1)] and C = [(0, 1), (1, 0)], ...

    Text Solution

    |

  20. Prove that abs[[b+c,c+a,a+b],[q+r,r+p,p+q],[y+z,z+x,x+y]]=2abs[[a,b,c]...

    Text Solution

    |