Home
Class 12
MATHS
A point P lying inside the curve y = sqr...

A point P lying inside the curve `y = sqrt(2ax-x^2)` is moving such that its shortest distance from the curve at any position is greater than its distance from X-axis. The point P enclose a region whose area is equal to

A

`(pi a^2)/2`

B

`(a^2)/(3)`

C

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

D

`((3pi-4)/(6))a^2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|5 Videos
  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|5 Videos
  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise For Session 2|20 Videos
  • BIONOMIAL THEOREM

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

Similar Questions

Explore conceptually related problems

Find the locus of a point which moves such that its distance from the origin is three xx its distance from x-axis.

Find the locus of a point whose distance from the point (1,2) is equal to its distance from axis of y.

Find the locus of a point whose distance from (a,0 ) is equal to its distance from the y-axis.

The locus of a point which moves such that its distance from the curve y=sin(sin^(-1)x) and point remains equal,is

Find the locus of a point P which moves such that its distance from the line y=sqrt(3)x-7 is the same as its distance from (2sqrt(3),-1)

If a point moves such that twice its distance from the axis of x exceeds its distance from the axis of y by 2, then its locus is

ARIHANT MATHS-AREA OF BOUNDED REGIONS-Exercise (Single Option Correct Type Questions)
  1. If the area bounded by the corve y=x^(2)+1, y=x and the pair of lines ...

    Text Solution

    |

  2. Suppose y=f(x) and y=g(x) are two continuous functiond whose graphs in...

    Text Solution

    |

  3. Let 'a' be a positive constant number. Consider two curves C1: y=e^x...

    Text Solution

    |

  4. 3 point O(0,0),P(a,a^2),Q(-b,b^2)(agt0,bgt0) are on the parabola y=x^2...

    Text Solution

    |

  5. Area enclosed by the graph of the function y= In^2x-1 lying in the 4...

    Text Solution

    |

  6. The area bounded by y = 2-|2-x| and y=3/|x| is

    Text Solution

    |

  7. Suppose g(x)=2x+1 and h(x)=4x^(2)+4x+5 and h(x)=(fog)(x). The area enc...

    Text Solution

    |

  8. The area bounded by the curves y=-sqrt(-x) and x=-sqrt(-y) where x,yle...

    Text Solution

    |

  9. y=f(x) is a function which satisfies f(0)=0, f"''(x)=f'(x) and f'(0)=1...

    Text Solution

    |

  10. Aea of the region nclosed between the curves x=y^2-1 and x=|y|sqrt(1-y...

    Text Solution

    |

  11. The area bounded by the curve y=xe^(-x);xy=0and x=c where c is the x-c...

    Text Solution

    |

  12. If (a,0), agt 0, is the point where the curve y=sin 2x-sqrt3 sin x cut...

    Text Solution

    |

  13. The curve y=ax^2+bx +c passes through the point (1,2) and its tangent ...

    Text Solution

    |

  14. A function y=f(x) satisfies the differential equation (dy)/(dx)-y= co...

    Text Solution

    |

  15. If the area bounded between X-axis and the graph of y=6x-3x^2 between ...

    Text Solution

    |

  16. Area bounded by y=f^(-1)(x) and tangent and normal drawn to it at poin...

    Text Solution

    |

  17. If f(x)=x-1 and g(x)=|f|(x)|-2|, then the area bounded by y=g(x) and t...

    Text Solution

    |

  18. Let S = {(x,y): (y(3x-1))/(x(3x-2))<0}, S'= {(x,y) in AxxB: -1 leqAleq...

    Text Solution

    |

  19. The area of the region bounded between the curves y=e||x|In|x||,x^2+y...

    Text Solution

    |

  20. A point P lying inside the curve y = sqrt(2ax-x^2) is moving such that...

    Text Solution

    |