Home
Class 12
MATHS
The slope of the tangent to a curve y=f(...

The slope of the tangent to a curve `y=f(x)` at `(x,f(x))` is `2x+1.` If the curve passes through the point `(1,2)` then the area of the region bounded by the curve, the x-axis and the line `x=1` is (A) `5/6` (B) `6/5` (C) `1/6` (D) `1`

A

`5/6` sq. unit

B

`6/5` sq. unit

C

`1/6` sq. unit

D

6 sq. unit

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|49 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

Similar Questions

Explore conceptually related problems

Find the area of the region bounded by the curve y = x^2 , the x-axis, and the lines x = 1 and x = 3.

Find area of the region bounded by the curve y= −4x, the x-axis and the lines x = −1 and x = -2.

Find the area of the region bounded by the curve (y-1)^2=4(x+1) and the line y= x-1

The area of the region bounded by the curve C :y=(x+1)/(x^(2)+1) nad the line y=1 , is

The area of the region bouonded by the curve y=x-x^2 between x=0 and x=1 is (A) 1/6 (B) 1/3 (C) 1/2 (D) 5/6

Area bounded by the curve y = sin^(-1)x , the X-axis and the line 2x = 1 is

The area of the region bounded by the curve y=abs(x-2), x=1, x=3 and the X-axis is

Find the area of the region bounded by the curve y^(2)=x and the lines x=1,x=4 and the x-axis.

The area bounded by the curve y = x^(4) , X-axis and the lines x = 1, x = 5 is

TARGET PUBLICATION-APPICATIONS OF DEFINITE INTEGRAL-EVALUATION TEST
  1. The area bounded by the curve y=abs(x), X axis and the lines x=-pi " a...

    Text Solution

    |

  2. Find the area bounded by the curve y=sin^(-1)x and the line x=0,|y|=pi...

    Text Solution

    |

  3. Using integration find area of the region bounded by the curves y=sqrt...

    Text Solution

    |

  4. The area bounded by the curves y = |x| - 1 and y = -|x| +1 is equal to

    Text Solution

    |

  5. Find the area of the region formed by x^2+y^2-6x-4y+12 le 0. y le x an...

    Text Solution

    |

  6. The area bounded by the curve y = 2x - x^(2) and the line y = - x is

    Text Solution

    |

  7. The area bounded by y=cosx, y=0 and abs(x)=1 is given by

    Text Solution

    |

  8. The area bounded by the curves y = cos x and y = sin x between the ord...

    Text Solution

    |

  9. The area of the region bounded by the parabola y = x^(2) + 2 and the l...

    Text Solution

    |

  10. The area bounded by the curve x=2-y-y^(2) and Y-axis is

    Text Solution

    |

  11. The area of the region bounded by the curves y^(2)=4a^(2)(x-1) and the...

    Text Solution

    |

  12. Find the area of the region bounded by the curves y^(2)=x+1 and y^(2)=...

    Text Solution

    |

  13. The area of the closed figure bounded by x=-1, y=0, y=x^(2)+x+1, and t...

    Text Solution

    |

  14. The area of the region bounded by the curves x^(2)+4y^(2)=4 " and " 4y...

    Text Solution

    |

  15. The slope of the tangent to a curve y=f(x) at (x,f(x)) is 2x+1. If the...

    Text Solution

    |

  16. The area bounded by y = sin^(-1)x,x=(1)/(sqrt(2)) and X-axis is

    Text Solution

    |

  17. The area of the region bounded by the parabola (y-2)^(2) = x- 1, the t...

    Text Solution

    |

  18. The area of the region bounded by the curves y=sqrt[[1+sinx]/cosx] and...

    Text Solution

    |