Home
Class 11
MATHS
Point M moved on the circle (x - 4)^2 + ...

Point M moved on the circle `(x - 4)^2 + (y - 8)^2 = 20` Then it broke away from it and moving along a tangent to the circle, cuts the x-axis at the point(-2, 0) The co-ordinates of a point on the circle at which the moving point broke away is

A

`(42/5, 36/5)`

B

`(-2/5, 44/5)`

C

(6, 4)

D

(2, 4)

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos

  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

Similar Questions

Explore conceptually related problems

The normal at the point (3,4) on a circle cuts the circle at the point (-1, -2), then the equation of the circle is-

The normal at the point (3, 4) on a circle cuts the circle at the point (-1,-2). Then the equation of the circle is

The co-ordinates of the point on the circle x^2+y^2-12x+30=0 which is farthest from the origin are

Find the equation of the normals to the circle x^2+y^2-8x-2y+12=0 at the point whose ordinate is -1

The length of the diameter of the circle which touches the x-axis at the point (1,0) and passes through the point (2, 3) is ?

Tangent drawn from the point P(4,0) to the circle x^2+y^2=8 touches it at the point A in the first quadrant. Find the coordinates of another point B on the circle such that A B=4 .

The length of the diameter of the circle which touches the x - axis at the point (1,0) and passes through the point (2,3) is _

If px+qy=r be a tangent to the circle x^(2)+y^(2)=a^(2) at any given point then find the equatin of the normal to the circle at the same point.

Find the co-ordinate of a point on the circle x^2 +y^2 - 4x + 2y - 20 = 0 nearest to (2, 3/2) .

A tangent drawn from the point (4,0) to the circle x^(2)+y^(2)=8 touches it at a point A in the first quadrant. Find the coordinates of another point Bon the circle such that AB=4 .

PATHFINDER-CIRCLE-QUESTION BANK
  1. Let x, y be real variable satisfying the x^2 + y^2 + 8x - 10 y - 40 = ...

    Text Solution

    |

  2. The circle x^2 + y^2 - 2x - 4y + 1 = 0 and x^2 + y^2 + 4x + 4y - 1 = ...

    Text Solution

    |

  3. Point M moved on the circle (x - 4)^2 + (y - 8)^2 = 20 Then it broke a...

    Text Solution

    |

  4. The equation of the tangents drawn from the origin to the circle x^2 +...

    Text Solution

    |

  5. The equation of a circle of radius 1 touching the circle x^2 + y^2 - 2...

    Text Solution

    |

  6. The range of value of 'a' such that angle theta between the pair of ta...

    Text Solution

    |

  7. The centre of a circle passing through the points (0,0),(1,0)and touch...

    Text Solution

    |

  8. Let L1 be a straight line passing through the origin and L2 be the str...

    Text Solution

    |

  9. Three sides of a triangle have the equation Li = y - mi x = 0 , I = 1,...

    Text Solution

    |

  10. Consider the circle x^2 + y^2 - 10x - 6y + 30 = 0 Let O be the centre ...

    Text Solution

    |

  11. From a point P(alpha, beta) a pair of tangents PQ and PR drawn to circ...

    Text Solution

    |

  12. From a point P(alpha, beta) a pair of tangents PQ and PR drawn to circ...

    Text Solution

    |

  13. If7l^2 - 9m^2 + 8l + 1 = 0 and we have to find equation of circle havi...

    Text Solution

    |

  14. If7l^2 - 9m^2 + 8l + 1 = 0 and we have to find equation of circle havi...

    Text Solution

    |

  15. Match List - I with List-II

    Text Solution

    |

  16. Match List - I with List-II

    Text Solution

    |

  17. The line joining (5, 0) to (10 cos theta, 10 sin theta) is divided int...

    Text Solution

    |

  18. C1 is a circle with centre at the origin and radius equal to 'r' and C...

    Text Solution

    |

  19. The area of the triangle formed by joining the origin to the points of...

    Text Solution

    |

  20. A circle touches the X-axis and also touches the circle with centre (0...

    Text Solution

    |