Home
Class 12
MATHS
A line segment AM=a moves in the XOY pla...

A line segment AM=a moves in the XOY plane such that AM is parallel to the X-axis. If A moves along the circle `x^(2)+y^(2)=a^(2)`, then the locus of M is

A

`x^(2) + y^(2) = 4a^(2)`

B

`x^(2) + y^(2) = 2ax`

C

`x^(2) + y^(2) = 2ay`

D

`x^(2) + y^(2) = 2ax + 2ay`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND PARTIAL FRACTIONS

    SIA PUBLICATION|Exercise Problems|48 Videos

  • COMPLEX NUMBERS AND DE MOIVRE'S THEOREM

    SIA PUBLICATION|Exercise Problems|34 Videos

Similar Questions

Explore conceptually related problems

Is line y=2 parallel to X-axis?

A rod AB of length 3 units moves vertically with its bottom B always an the circle x^(2)+y^(2)=25 then the equation of the locus of A is

If a point P moves such that its distance from the point A(1, 1 ) and the line x + y + 2 = 0 are equal then the locus of P is

Find the area of the region in the first quadrant enclosed by the x-axis, the line y=x and the circle x^(2) + y^(2)=32

The locus of th point (l,m). If the line lx+my=1 touches the circle x^(2)+y^(2)=a^(2) is

A rod AB of length 4 units moves horizontally with its left end A always on the circle x^(2)+y^(2)-4x-18y-29=0 then the locus of the other end B is

The area in the first quadrant enclosed by the axis, the line x=ysqrt(3) and the circle x^(2)+y^(2)=4 is

Find the area of the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x^(2)+y^(2)=32 .

SIA PUBLICATION-CIRCLE-PROBLEMS
  1. The radius of the circle r = 12 cos theta + 5 sin theta is

    Text Solution

    |

  2. If the line y=2x+c is a tangent to the circle x^(2)+y^(2)=5 then a val...

    Text Solution

    |

  3. A line segment AM=a moves in the XOY plane such that AM is parallel to...

    Text Solution

    |

  4. If the lines 3x+4y-14=0 and 6x+8y+7=0 are both tangents to a circle, t...

    Text Solution

    |

  5. The equation of the circle concentric with the circle x^(2)+y^(2)-6x+1...

    Text Solution

    |

  6. The length of the common chord of the circles of radii 15 and 20, whos...

    Text Solution

    |

  7. The equations of the circles which pass through the origin and makes i...

    Text Solution

    |

  8. The locus of centre of a circle which passes through the origin and cu...

    Text Solution

    |

  9. The diameters of a circle pre along 2x+y-7=0 and x+3y- 11=0. Then, the...

    Text Solution

    |

  10. If the lines 2x -3y=5 and 3x-4y=7 are two diameters of a circle of rad...

    Text Solution

    |

  11. The inverse of the point (1, 2) with respect to the circle x^(2) + y^(...

    Text Solution

    |

  12. If theta is the angle between the tangents from (-1,0) to the circle x...

    Text Solution

    |

  13. The radius of the circle with the polar equation r^(2) - 8r (sqrt(3) c...

    Text Solution

    |

  14. The equation of the circle of radius 3 that lies in the fourth quadran...

    Text Solution

    |

  15. The polar equation of the circle with centre (2, (pi)/(2)) and radius ...

    Text Solution

    |

  16. The number of common tangentss to the circles x^(2)+y^(2)-8x+2y=0 and ...

    Text Solution

    |

  17. Statement I The circle x^(2) + y^(2) - 6x - 4y - 7 = 0 touches y-axis ...

    Text Solution

    |

  18. Find the length of the tangent form (1,3) to the circle x^(2) + y^(2...

    Text Solution

    |

  19. If x - y + 1 = 0 meets the circle x^(2) + y^(2) + y - 1 = 0 at A a...

    Text Solution

    |

  20. If y=3x is a tangent to a circle with centre (1,1) then the other tang...

    Text Solution

    |