Home
Class 12
MATHS
Find the co-ordinate of the point on the...

Find the co-ordinate of the point on the circle `x^2+y^2-12x-4y +30=0`, which is farthest from the origin.

A

(9,3)

B

(8,5)

C

(12,4)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    FIITJEE|Exercise Assignment Problems (Objective) Level -II|15 Videos
  • CIRCLE

    FIITJEE|Exercise COMPREHENSIONS|8 Videos
  • CIRCLE

    FIITJEE|Exercise Assignment Problems (Subjective ) Level -II|13 Videos
  • AREA

    FIITJEE|Exercise Numerical Based|3 Videos
  • COMPLEX NUMBER

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

Find the points on the circle x^(2)+y^(2)-2x+4y-20=0 which are the farthest and nearest to the point (-5,6)

The point on the circle x^(2)+y^(2)-6x+4y-12=0 which is at maximum distance from the point (-9,7) is

Find the points on the circle x^(2)+y^(2)-2x+4y-20=0 which are farthest and nearests to point (-5,6).

The co-ordinates of the foci of the ellipse 3x ^(2) + 4y ^(2) -12 x -8y +4=0, are

Find the co-ordinates of the foot of the perpendicular drawn from the origin to the plane 3x + 4y – 6z + 1 = 0. Find also the co-ordinates of the point on the line which is at the same distance from the foot of the perpendicular as the origin is.

FIITJEE-CIRCLE-Assignment Problems (Objective) Level -I
  1. If C(1): x^(2)+y^(2) =(3+2sqrt(2))^(2) be a circle. PA and PB are pair...

    Text Solution

    |

  2. Equation of a circle with centre(4,3) touching the circle x^2+y^2=1

    Text Solution

    |

  3. Find the co-ordinate of the point on the circle x^2+y^2-12x-4y +30=0, ...

    Text Solution

    |

  4. The centre of circle inscribed in a square formed by lines x^2-8x+1...

    Text Solution

    |

  5. From any point on the circle x^(2)+y^(2)=a^(2) tangents are drawn to t...

    Text Solution

    |

  6. The equation of the circumcircle of an equilateral triangle is x^2+y^2...

    Text Solution

    |

  7. Four distinct points (2K,3K),(1,0),(0,1) and (0,0) lie on circle when

    Text Solution

    |

  8. A line is drawn through a fixed point P(alpha, B) to cut the circle x...

    Text Solution

    |

  9. The line 4x+3y-4=0 divides the circumference of the circle centred at ...

    Text Solution

    |

  10. The maximum distance of the point (4,4) from the circle x^2+y2-2x-15=0...

    Text Solution

    |

  11. If the circle x^2+y^2+4x+22y+l=0 bisects the circumference of the circ...

    Text Solution

    |

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

    Text Solution

    |

  13. If the length of the tangents from any point on the circle 15x^(2)+15y...

    Text Solution

    |

  14. ) Six points(x,yi),i=1,2, ,.., 6 are taken on the circle x4 such that ...

    Text Solution

    |

  15. The circles x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect at an angle of

    Text Solution

    |

  16. The centers of a set of circles, each of radius 3, lie on the circle x...

    Text Solution

    |

  17. The chords of contact of the pair of tangents drawn from each point on...

    Text Solution

    |

  18. Equation of a circle S(x,y)=0 , (S(2,3)=16) which touches the line 3x+...

    Text Solution

    |

  19. Find the number of common tangents that can be drawn to the circles...

    Text Solution

    |

  20. Equation of the straight line meeting the cirle with centre at origin ...

    Text Solution

    |