Home
Class 12
MATHS
Prove that the farthest point on the cir...

Prove that the farthest point on the circle,`x^2 + y^2-2x-4y-11=0` from the origins

A

`(2 + 8// sqrt5, 1 + 4 //sqrt5)`

B

`(1 + 4// sqrt5, 2 + 8 //sqrt5)`

C

`(1 + 8//sqrt5, 2 + 4//sqrt5)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|30 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS )|17 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (CONCEPT - BASED ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|20 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

Similar Questions

Explore conceptually related problems

The nearest point on the circle x^(2)+y^(2)-6x+4y-12=0 from (-5,4) is

STATEMENT -1 : The farthest point on the circle x^(2) + y^(2) - 2x - 4y + 4 from (0, 0) is (1, 3). and STATEMENT-2 : The farthest and nearest points on a circle from a given point are the end points of the diameter through the point.

The length of the tangent from any point on the circle x^(2)+y^(2)-2x-4y-5=0 to the circle 2x^(2)+2y^(2)-4x-8y-7=0 is

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

The distance of the centre of the sphere x^2 + y^2 + z^2 - 2x - 4y = 0 from the origin is

Tangents drawn from the point P(1,8) to the circle x^(2) + y^(2) - 6x - 4y -11=0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB is:

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -SOLVED EXAMPLES (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. If the lines a1x+b1y+c1=0 and a2x+b2y+c2=0 cut the coordinae axes at c...

    Text Solution

    |

  2. The length of the tangent drawn from any point on the circle x^(2) + y...

    Text Solution

    |

  3. Prove that the farthest point on the circle,x^2 + y^2-2x-4y-11=0 from ...

    Text Solution

    |

  4. C(1) is a circle with centre at the origin and radius equal to r and C...

    Text Solution

    |

  5. An equilateral triangle is inscribed in the circle x^2+y^2=a^2 with o...

    Text Solution

    |

  6. Length of the common chord of the circles (x -1) ^(2) + (y + 1)^(2) ...

    Text Solution

    |

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

    Text Solution

    |

  8. The equation of a circle with origin as centre and passing through the...

    Text Solution

    |

  9. The circles x ^(2) + y ^(2) -10 x + 16=0 and x ^(2) + y ^(2) =r ^(2) i...

    Text Solution

    |

  10. A line is drawn through the point P(3,11) to cut the circle x^(2)+y^(2...

    Text Solution

    |

  11. If the line x cos alpha + y sin alpha = p represents the common chod A...

    Text Solution

    |

  12. A circle touches both the coordinate axes and the line x-y=sqrt(2)a, a...

    Text Solution

    |

  13. If the tangent at the point on the circle x^2+y^2+6x +6y=2 meets the ...

    Text Solution

    |

  14. An acute triangle PQR is inscribed in the circle x^2+y^2= 25. If Q and...

    Text Solution

    |

  15. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

    Text Solution

    |

  16. An isosceles triangle is inscribed in the circle x ^(2) + y ^(2) - 6x ...

    Text Solution

    |

  17. Find the equations to the common tangents of the circles x^2+y^2-2x-6y...

    Text Solution

    |

  18. The centre of the circle whose radius is 5 and which touches the circl...

    Text Solution

    |

  19. A point moves such that the sum of the squares of its distances from t...

    Text Solution

    |

  20. Equation of a circle with centre (-4,3) touching internally and contai...

    Text Solution

    |