Home
Class 12
MATHS
The area (in sq. units) enclosed between...

The area (in sq. units) enclosed between the curve `x=(1-t^(2))/(1+t^(2)), y=(2t)/(1+t^(2)), AA t in R` and the line `y=x+1` above the line is

A

`(pi)/(4)`

B

`(1)/(2)`

C

`(3pi)/(4)+(1)/(2)`

D

`(pi)/(4)-(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 44

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 46

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The locus of the point x=(t^(2)-1)/(t^(2)+1),y=(2t)/(t^(2)+1)

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

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

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

The eccentricity of the conic x=3((1-t^(2))/(1+t^(2))) and y=(2t)/(1+t^(2)) is

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

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

If x=(1-t^(2))/(1+t^(2))" and "y=(2t)/(1+t^(2))," then: "(dy)/(dx)|_(t=1) is

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

NTA MOCK TESTS-NTA JEE MOCK TEST 45-MATHEMATICS
  1. If A(0, 0), B(theta, cos theta) and C(sin^(3) theta, 0) are the vertic...

    Text Solution

    |

  2. The value of int(0)^((pi)/(3))log(1+sqrt3 tanx)dx is equal to

    Text Solution

    |

  3. The area (in sq. units) enclosed between the curve x=(1-t^(2))/(1+t^(2...

    Text Solution

    |

  4. The solution of the differential equation y(2x^(4)+y)(dy)/(dx) = (1-...

    Text Solution

    |

  5. R rarr R be defined by f(x)=((e^(2x)-e^(-2x)))/2. is f(x) invertible. ...

    Text Solution

    |

  6. The value of lim(xrarr1)(xtan{x})/(x-1) is equal to (where {x} denotes...

    Text Solution

    |

  7. If the lines (x-1)/(1)=(y-3)/(1)=(z-2)/(lambda) and (x-1)/(lambda)=(y-...

    Text Solution

    |

  8. Let A and B are square matrices of order 2 such that A+adj(B^(T))=[(3,...

    Text Solution

    |

  9. A bag contains 40 tickets numbered from 1 to 40. Two tickets are drawn...

    Text Solution

    |

  10. Let A and B be two square matrices of order 3 such that |A|=3 and |B|=...

    Text Solution

    |

  11. Point P(-1, 7) lies on the line 4x+3y=17. Then the coordinates of the ...

    Text Solution

    |

  12. From the point A(0, 3) on the circle x^(2)+9x+(y-3)^(2)=0, a chord AB ...

    Text Solution

    |

  13. OA is the chord of the parabola y^(2)=4x and perpendicular to OA which...

    Text Solution

    |

  14. If A(2+3i) and B(3+4i) are two vertices of a square ABCD (taken in ant...

    Text Solution

    |

  15. Two poles of height 10 meters and 20 meters stand at the centres of tw...

    Text Solution

    |

  16. If in a class there are 200 students in which 120 take Mathematics, 90...

    Text Solution

    |

  17. If the variance of first n even natural numbers is 133, then the value...

    Text Solution

    |

  18. The arithmetic mean of two positive numbers a and b exceeds their geo...

    Text Solution

    |

  19. If P and Q are points with eccentric angles theta and (theta+(pi)/(6))...

    Text Solution

    |

  20. If vecx and vecy are two non zero, non - collinear vectors satisfying ...

    Text Solution

    |