Home
Class 12
MATHS
If a line segement A M=a moves in the pl...

If a line segement `A M=a` moves in the plane `X O Y` remaining parallel to `O X` so that the left endpoint `A` slides along the circle `x^2+y^2=a^2,` then the locus of `Mdot`

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=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|21 Videos
  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 7|18 Videos
  • BIONOMIAL THEOREM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Complex Number Exercise 8|2 Videos

Similar Questions

Explore conceptually related problems

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

If the line y=m x+1 is tangent to the parabola y^2=4x , then find the value of mdot

the equation of the line parallel to the line 3x +4y=0 and touching the circle x^2+ y^2= 9 in the first quadrant 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 locus of th point (l,m). If the line lx+my=1 touches the circle x^(2)+y^(2)=a^(2) is

The line x+3y=0 is a diameter of the circle x^2+y^2-6x+2y=0

If the area (in sq. units) of the triangle formed by the intersection of a line parallel to the x - axis and passing through the point P(h, k) with the line y=x and x+y=2 is 4h^(2) , then the locus of the point P is

Find the equation of the normal to the circle x^2+y^2-2x=0 parallel to the line x+2y=3.

Find the equation of the normal to the circle x^2+y^2-2x=0 parallel to the line x+2y=3.

If the line l x+m y-1=0 touches the circle x^2+y^2=a^2 , then prove that (l , m) lies on a circle.

ARIHANT MATHS ENGLISH-CIRCLE -Exercise (Single Option Correct Type Questions)
  1. If (1+ax)^n = 1 + 8x + 24x^2 + … and a line through P(a, n) cuts the c...

    Text Solution

    |

  2. A region in the x-y plane is bounded by the curve y=sqrt(25-x^2) and t...

    Text Solution

    |

  3. S(x ,y)=0 represents a circle. The equation S(x ,2)=0 gives two identi...

    Text Solution

    |

  4. Let 0 lt alpha lt (pi)/(2) be a fixed angle . If p=(costheta, sin the...

    Text Solution

    |

  5. Find the number of point (x ,y) having integral coordinates satisfying...

    Text Solution

    |

  6. The point ( [ P + 1 ] , [ P ] ) (where [.] denotes the greatest in...

    Text Solution

    |

  7. A point Plies inside the circles x^2+y^2-4=0 and x^2+y^2-8x+7=0. The...

    Text Solution

    |

  8. The set of values of 'c' so that the equations y=|x|+c andx^(2)+y^(2)-...

    Text Solution

    |

  9. If a line segement A M=a moves in the plane X O Y remaining parallel t...

    Text Solution

    |

  10. Show that the four points of intersection of the lines : (2x-y + 1) (x...

    Text Solution

    |

  11. Find the number of integral values of lambda for which x^2+y^2+lambdax...

    Text Solution

    |

  12. Let f(x,y)=0 be the equation of a circle. If f(0,lamda)=0 has equal ro...

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. A, B C and D are the points of intersection with the coordinate axes o...

    Text Solution

    |

  16. alpha,beta and gamma are parametric angles of three points P, Q and R ...

    Text Solution

    |

  17. The equation of the circle passing through (2,0) and (0,4) and having ...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. The circle x^2+y^2=4 cuts the line joining the points A(1, 0) and B(3,...

    Text Solution

    |

  20. The locus of the mid points of the chords of the circle x^2+y^2+4x-6y-...

    Text Solution

    |