Home
Class 12
MATHS
If the area enclosed by the parabolas y ...

If the area enclosed by the parabolas `y = a – x^(2 )and y = x^(2)` is `18sqrt( 2)` sq. units. Find the value of ‘a’.

Text Solution

Verified by Experts

The correct Answer is:
`a = 9 `
Promotional Banner

Topper's Solved these Questions

  • AREA UNDER THE CURVE

    MOTION|Exercise EXERCISE - 4 LEVEL - I|11 Videos

  • AREA UNDER THE CURVE

    MOTION|Exercise EXERCISE - 4 LEVEL - II|14 Videos

  • AREA UNDER THE CURVE

    MOTION|Exercise EXERCISE - 2 (LEVEL-II)|4 Videos

  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 4|4 Videos

Similar Questions

Explore conceptually related problems

Find the area enclosed by the parabolas y=5x^2 and y=2x^2+9

The area enclosed by the parabola y=x^(2)-1 " and " y=1-x^(2) is

The area enclosed by the parabola y=3(1-x^(2)) and the x-axis is

If the area enclosed by the parabolas y^(2)=16ax and x^(2)=16ay,a>0is(1024)/(3)sq units,find the value of a.

Find the area enclosed by the parabola 4y=3x^(2) and the line 2y=3x+12

The area enclosed between the parabola y^(2) = 20x and the line y = 2x is ….. sq. units.

If the area enclosed between the parabola y^(2)=4x and the line y = mx is (1/3) sq. unit, then : m =

If the area bounded by the parabola y=2-x^(2) and the line y=-x is (k)/(2) sq. units, then the value of 2k is equal to

Find the area enclosed by the parabola y = 2 - x^(2) and the straight line x + y = 0

MOTION-AREA UNDER THE CURVE-EXERCISE -3
  1. Find the area of the region bounded by the curves, y = log(e)x, y = si...

    Text Solution

    |

  2. Find the area bounded by the curves y=sqrt(1-x^2) and y=x^3-x.Also fin...

    Text Solution

    |

  3. If the area enclosed by the parabolas y = a – x^(2 )and y = x^(2) is 1...

    Text Solution

    |

  4. Find the area of the region enclosed by the curve y = x^(4) – 2x^(2) a...

    Text Solution

    |

  5. Find the area enclosed between the curves: y = loge (x + e) , x = loge...

    Text Solution

    |

  6. Compute the area of the curvilinear triangle bounded by the y-axis and...

    Text Solution

    |

  7. For what value of ‘a’ is the area of the figure bounded by the lines y...

    Text Solution

    |

  8. Given f(x) = int(0)^(x)e^(t)(ln sec t - sec ^(2) t ) dt, g(x)= - 2e^(x...

    Text Solution

    |

  9. Find the values of m (m gt 0) for which the area bounded by the line y...

    Text Solution

    |

  10. For what value of 'a' is the area bounded by the curve y=a^2x^2 +ax+...

    Text Solution

    |

  11. Consider the collection of all curve of the form y = a – bx^(2) that p...

    Text Solution

    |

  12. For the curve f(x) = 1/(1+x^(2) , let two points on it are A(alpha, f(...

    Text Solution

    |

  13. Let ‘c’ be the constant number such that c gt 1. If the least area ...

    Text Solution

    |

  14. If y=f(x) is a monotonic function in (a,b), then the area bounded by t...

    Text Solution

    |

  15. For what values of a in [0, 1] does the area of the fiqure bounded by ...

    Text Solution

    |

  16. A figure is bounded by the curves y =|sqrt2 sin((pix)/4)|,y=0, x=2&x=4...

    Text Solution

    |

  17. The line 3x +2y=13 divides the area enclosed by the curve, 9x^2+4y^2-1...

    Text Solution

    |

  18. Find the area bounded by the curve y = xe^(-x^2) , the x-axis, and the...

    Text Solution

    |

  19. A polynomial function f(x) satisfies the condition f(x+1)=f(x) + 2x + ...

    Text Solution

    |

  20. Find the equation of the line passing through the origin and dividing ...

    Text Solution

    |