Home
Class 11
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`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 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.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the locus of the center of the circle touching the circle x^2+y^2...

    Text Solution

    |

  2. If the line a x+b y=2 is a normal to the circle x^2+y^2+4x+4y=0 and a ...

    Text Solution

    |

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

    Text Solution

    |

  4. The ends of a quadrant of a circle have the coordinates (1, 3) and (3,...

    Text Solution

    |

  5. The tangents to x^2+y^2=a^2 having inclinations alpha and beta inte...

    Text Solution

    |

  6. If the length of a common internal tangent to two circles is 7, and th...

    Text Solution

    |

  7. If C1,C2,a n dC3 belong to a family of circles through the points (x1,...

    Text Solution

    |

  8. Two circle are externally tangent. Lines PAB and P A 'B ' are common t...

    Text Solution

    |

  9. Prove that quadrilateral A B C D , where A B-=x+y-10 ,B C-=x-7y+50=0,C...

    Text Solution

    |

  10. Statement 1 : Let S1: x^2+y^2-10 x-12 y-39=0, S2 x^2+y^2-2x-4y+1=0 an...

    Text Solution

    |

  11. Find the locus of the midpoint of the chords of the circle x^2+y^2-ax-...

    Text Solution

    |

  12. Let the lines (y-2)=m1(x-5) and (y+4)=m2(x-3) intersect at right angle...

    Text Solution

    |

  13. A variable circle passes through the point A(a ,b) and touches the x-a...

    Text Solution

    |

  14. Find the equation of the circle if the chord of the circle joining (1,...

    Text Solution

    |

  15. Find the equation of the circle which passes through (1, 0) and (0, 1)...

    Text Solution

    |

  16. Tangents are drawn from the origin to the circle x^2+y^2-2h x-2h y+h^2...

    Text Solution

    |

  17. Let A (-2,-2)and B (2,2) be two points AB subtends an angle of 45^@ at...

    Text Solution

    |

  18. Consider the family of circles x^2+y^2-2x-2lambday-8=0 passing throug...

    Text Solution

    |

  19. If a circle passes through the point (0,0),(a ,0)a n d(0, b) , then fi...

    Text Solution

    |

  20. The line 3x+6y=k intersects the curve 2x^2+3y^2=1 at points A and B . ...

    Text Solution

    |