Home
Class 12
MATHS
The area between x=y^2and x = 4is divide...

The area between `x=y^2`and `x = 4`is divided into two equal parts by the line`x = a`, find the value of a.

A

`a=4^(4//3)`

B

`a=4^(3//2)`

C

`a=4^(1//3)`

D

`a=4^(2//3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN|Exercise Exercise 8 B Multiple Choice Questions|10 Videos

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN|Exercise Exercise 8 C Questions For Competitive Examinations|10 Videos

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|24 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|23 Videos

Similar Questions

Explore conceptually related problems

The area between x=y^(2) and and is divided into two equal parts by the line x=a find the value of a.

The area between the curve x=y^(2) and x=4 which divide into two equal parts by the line x=a. Find the value of a

The area bounded by the parabola x^(2) = 4y , the x-axis and the line x = 4 is divided into two equal area by the line x = alpha , then the value of alpha is

If the area bounded by the curve y=x^(2) , the X-axis and the line x=2^(1//3) is divided into two equal parts by the line x = a, then : a=

Area bounded by curve y^(2)=x and x=4 is divided into 4 equal parts by the lines x=a and y=b then a& b is

If the area bounded by the parabola x^(2)=y and the line y = 4 is divided into equal parts by the line y = c, then : c =

The area bounded by the curve y=x^2 , the x-axis and the line x=2^(1/3) is divided into two equal areas by the line x=k . The value of k is (A) 2^(-2/3) (B) 2^(-1/3) (C) 1 (D) 2^(1/3)-1

The circle x^(2)+y^(2) =4a^(2) is divided into two parts by the line x =(3a)/(2). Find the ratio of areas of these two parts.

If the area bounded by the curve x=y^2 and the line x=4 gets divided by the line x=a into two equal halves, then find the value of a.

The area enclosed by the circle x^2+(y+2)^2=16 is divided into two parts by the x-axis. Find by integration, the area of the smaller part.

NAGEEN PRAKASHAN-APPLICATIONS OF INTEGRALS-Exercise 8a
  1. Find the area of that region bounded by the curve y="cos"x, X-axis, x...

    Text Solution

    |

  2. Find the area of that region of the parabola y^(2)=4ax which lies betw...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the area bounded by the curve y^2=4ax and the lines y=2a and y-ax...

    Text Solution

    |

  5. Find the area of the parabola y^2=4a xbounded by its latus rectum.

    Text Solution

    |

  6. Using integration, find the area of the region bounded by the parabola...

    Text Solution

    |

  7. Find the area enclosed by the parabola 4y=3x^2 and the line2y = 3x + ...

    Text Solution

    |

  8. The area between x=y^2and x = 4is divided into two equal parts by the ...

    Text Solution

    |

  9. Find the area of the region bounded by: the parabola y=x^2 and the li...

    Text Solution

    |

  10. FInd the area bounded by the curves y^2=9xandx^2=9y.

    Text Solution

    |

  11. Using the method of integration find the area of the triangle ABC, ...

    Text Solution

    |

  12. Using integration, find the area of the triangle whose vertices are (1...

    Text Solution

    |

  13. Using integration find the area of the triangular region whose side...

    Text Solution

    |

  14. Find the area of the region {(x,y):0 le y le x^(2)+1,0 le y le x + 1,...

    Text Solution

    |

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

    Text Solution

    |

  16. Find the area of the region bounded by the curves x^(2)+y^(2)=4 and (x...

    Text Solution

    |

  17. Find the smaller area enclosed between linex, if y={x, if x >= 0 and ...

    Text Solution

    |

  18. The equation of the common tangent to the parabolas y^2= 4ax and x^2= ...

    Text Solution

    |

  19. Using definite integration, find the area of the smaller region bounde...

    Text Solution

    |

  20. The circle x^(2)+y^(2) =4a^(2) is divided into two parts by the line x...

    Text Solution

    |