Home
Class 12
MATHS
The area of the region (in square units)...

The area of the region (in square units) above the x - axis bounded by the curve `y=tan x, 0 le x le (pi)/(2)` and the tangent to the curve at `x=(pi)/(4)` is

A

`(1)/(2)(log 2-(1)/(2))`

B

`(1)/(2)(1+log2)`

C

`(1)/(2)(1-log 2)`

D

`(1)/(2)(log 2+(1)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 1

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • JEE MOCK TEST 11

    NTA MOCK TESTS|Exercise MATH|25 Videos

Similar Questions

Explore conceptually related problems

The area of the region bounded by the X-axis and the curves defined by y=tan x, (-pi/3 le x le pi/3) is

The area of the region bounded by the curve y=tan x, tangent drawn to the curve at x=(pi)/(4) and the x -axis is

The area bounded by the curve y = sin^(2) x, 0 le x le pi/2 , X axis and the line x = pi/2 is

Find the area bounded by the curves x ^(2) le y le x + 2:

Area (in square units) of the region bounded by the curve y^(2)=4x, y-axis and the line y=3 , is

Area bounded by the curves y = x ,y = tanx and x = pi/4 is

The area in square units of the region bounded by the curve x^(2)=4y , the line x=2 and the x-axis, is

NTA MOCK TESTS-JEE MOCK TEST 10-MATH
  1. The solution of dy = cos x (2 - y " cosec " x) dx , where y = sqrt(2)...

    Text Solution

    |

  2. Find the domain of the function f given by f(x)=1/(sqrt([x]^2-[x]-6))

    Text Solution

    |

  3. The area of the region (in square units) above the x - axis bounded by...

    Text Solution

    |

  4. Two men are on the opposite sides of a tower. They measure the angles ...

    Text Solution

    |

  5. Let C(1), C(2), C(3)… are the usual binomial coefficients where C(r )=...

    Text Solution

    |

  6. If p = sin^(2)x + cos^(4)x, then

    Text Solution

    |

  7. If p rArr (q vee r) is false, then the truth values of p, q, r ar...

    Text Solution

    |

  8. A box contains tickets numbered 1 to N. n tickets are drawn from the b...

    Text Solution

    |

  9. The coordinates of the focus of the parabola described parametrically ...

    Text Solution

    |

  10. The rate of change of sqrt(x^2+16) with respect to x/(x-1) at x=3 is

    Text Solution

    |

  11. If | (z - i)/(z + 2i)| = 1, |z| = 5/2 then the value of |z + 3i|

    Text Solution

    |

  12. Let a,b,c are respectively the sums of the first n terms, the next n t...

    Text Solution

    |

  13. The function f(x)={x} sin (pi[x]), where [.] denotes the greatest inte...

    Text Solution

    |

  14. There are number of seats and m number of people have to be seated, th...

    Text Solution

    |

  15. Let I=int0^1(sin)/(sqrt(x))dx"and"J=int0^1(cosx)/(sqrt(x))dx Then wh...

    Text Solution

    |

  16. If |(a^2,b^2,c^2),((a+lambda)^2,(b+lambda)^2,(c+lambda)^2),((a-lambda)...

    Text Solution

    |

  17. Coefficent of variation of two distributions are 60% and 75%, and thei...

    Text Solution

    |

  18. {x inR:cos2x+2cos^(2)x=2} is equal to

    Text Solution

    |

  19. lim(x to 0)(ln(1+x))/(x^(2))+(x-1)/(x)=

    Text Solution

    |

  20. The abscissa of the points, where the tangent to curve y=x^(3)-3x^(2)-...

    Text Solution

    |