Home
Class 12
MATHS
Find the area of the region bounded by t...

Find the area of the region bounded by the curve C : y=tan x ,tangent drawn to C at x=pi/4, and the x-axis.

Text Solution

AI Generated Solution

To find the area of the region bounded by the curve \( C: y = \tan x \), the tangent drawn to \( C \) at \( x = \frac{\pi}{4} \), and the x-axis, we will follow these steps: ### Step 1: Find the point on the curve at \( x = \frac{\pi}{4} \) First, we need to find the coordinates of the point on the curve \( y = \tan x \) at \( x = \frac{\pi}{4} \). \[ y = \tan\left(\frac{\pi}{4}\right) = 1 \] ...
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE ENGLISH|Exercise MATRIX MATCH TYPE|3 Videos
  • APPLICATIONS OF DERIVATIVES

    CENGAGE ENGLISH|Exercise Comprehension Type|5 Videos

Similar Questions

Explore conceptually related problems

Find the area of the region bounded by the curve C : y=tanx ,t a nge n td r a w ntoC at x=pi/4, and the x-axis.

Find the area of the region bounded by the curves x=2y-y^2 and y=2+x .

Find the area of the region bounded by the curve y^(2)=9x" and " y=3x .

Find the area of the region bounded by the curve y^2=4x and the line x = 3 .

Find the area of the region bounded by the curve y=x^(3),y=x+6" and "x=0

Find the area of the region bounded by the curves y=x^2+2, y=x ,x=0,a n dx=3.

Find the area of the region bounded by the curve y=x^2 and the line y" "=" "4 .

Find the area of the region bounded by the curves x=4y-y^(2) and the Y-axis.

Find the area of the region bounded by the curve y = sin x between x = 0 and x= 2pi .

Find the area of the region bounded by the curve y^(2)=4x" and " x^(2)=4y .

CENGAGE ENGLISH-APPLICATION OF INTEGRALS-All Questions
  1. Sketch the curves and identity the region bounded by x=1/2,x=2,y=lnx ,...

    Text Solution

    |

  2. Sketch the region bounded by the curves y=x^(2) and y=(2)/(1+x^(2)). F...

    Text Solution

    |

  3. Find the area of the region bounded by the curve C : y=tan x ,tangent ...

    Text Solution

    |

  4. Compute the area of the region bounded by the curves y=e x(log)e xa n ...

    Text Solution

    |

  5. A O B is the positive quadrant of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=...

    Text Solution

    |

  6. Find the area bounded by the curves y=sin x and y=cos x between two co...

    Text Solution

    |

  7. In what ratio does the x-axis divide the area of the region bounded by...

    Text Solution

    |

  8. Consider a square with vertices at (1,1)(-1,1)(-1,-1)and(1,-1). Let S ...

    Text Solution

    |

  9. Find the area bounded by y=x^3-x and y=x^2+xdot

    Text Solution

    |

  10. Find the area, lying above the x=axis and included between the circle ...

    Text Solution

    |

  11. Consider the region formed by the lines x=0,y=0,x=2,y=2. If the area e...

    Text Solution

    |

  12. Find the area bounded by the curve y=(x-1)(x-2)(x-3) lying between the...

    Text Solution

    |

  13. Find the area bounded by the parabola y=x^2+1 and the straight line x+...

    Text Solution

    |

  14. Find the area of the closed figure bounded by the curves y=sqrt(x),y=s...

    Text Solution

    |

  15. Find the area of the smaller part of the circle x^2+y^2=a^2 cut off...

    Text Solution

    |

  16. The area enclosed by the curve c : y=xsqrt(9-x^2) (xgeq0) and the x-ax...

    Text Solution

    |

  17. The area bounded by the curves y=x(x-3)^2a n dy=x is (in sq. units)

    Text Solution

    |

  18. Column I, Column II Area enclosed , q. 1. sq. units The sma...

    Text Solution

    |

  19. Consider two regions: R1: Point P is nearer to (1,0) then to x=-1. ...

    Text Solution

    |

  20. Statement 1 : The area bounded by 2geqm a xdot{|x-y|,|x|y"|"} is 8 sq....

    Text Solution

    |