Home
Class 12
MATHS
Find limit of the ratio of the area of t...

Find limit of the ratio of the area of the triangle formed by the origin and intersection points of the parabola `y=4x^2` and the line `y=a^2` to the area between the parabola and the line as `a` approaches to zero.

Text Solution

Verified by Experts

The correct Answer is:
`3/2`
Promotional Banner

Topper's Solved these Questions

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Area of bounded Regions Exercise 7: Subjective Type Questions|1 Videos

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|23 Videos

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|8 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

Find the area of region bounded by the parabola y=x^(2) and the line y=x .

Find the area of the triangle formed by the lines joining the vertex of the parabola x^2= 12y to the ends of its latus-rectum.

Find the area enclosed between the parabola y^2 = 4ax and the line y = mx

Find the area of the triangle formed by the lines joining the vertex of the parabola x^2 = 12y to the ends of its latus rectum.

Find the area of the region enclosed by the parabola y^2 = 4x and the line y = 2x .

ARIHANT MATHS-AREA OF BOUNDED REGIONS-Exercise (Subjective Type Questions)
  1. Find the continuous function f where (x^4-4x^2)lt=f(x)lt=(2x^2-x^3) su...

    Text Solution

    |

  2. Write the discriminant of the following quadratic equation : x^2 - 3...

    Text Solution

    |

  3. Let f(x)= minimum {e^(x),3//2,1+e^(-x)},0lexle1. Find the area bounded...

    Text Solution

    |

  4. Find the area bounded by y=f(x) and the curve y=2/(1+x^2) satisfying ...

    Text Solution

    |

  5. The value of overset(sin^(2)x)underset(0)int sin^(-1)sqrt(t)dt+overs...

    Text Solution

    |

  6. Find the value of discriminant of the following quadratic equation : ...

    Text Solution

    |

  7. Find the value of discriminant of the following quadratic equation : ...

    Text Solution

    |

  8. Find the value of discriminant of the following quadratic equation : ...

    Text Solution

    |

  9. Determine whether the given quadratic equation have real roots and if ...

    Text Solution

    |

  10. If the circles of the maximum area inscriabed in the region bounded by...

    Text Solution

    |

  11. Find limit of the ratio of the area of the triangle formed by the orig...

    Text Solution

    |

  12. Find the area of curve enclosed by |x+y|+|x-y|le4,|x|le1, y ge sqrt(x^...

    Text Solution

    |

  13. Determine whether the given quadratic equation have real roots and if ...

    Text Solution

    |

  14. Find x , if 4 1/2 + 2 3/4 = x

    Text Solution

    |

  15. Find x , if 5/4 - 7/6 - (-2/3) = x

    Text Solution

    |

  16. Find the value of x , if x : 6 :: 5 : 3

    Text Solution

    |

  17. The value of the parameter a(a>=1) for which the area of the figure bo...

    Text Solution

    |