Home
Class 12
MATHS
Find the points on the circle x^(2)+y^(2...

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

Text Solution

Verified by Experts

The correct Answer is:
Hence, point A(-2,2) is nearest to P and B (4,-6) is farthest from P.
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 1|18 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 2|17 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|43 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)

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

Point on the circle x^(2)+y^(2)-2x+4y-4=0 which is nearest to the line y=2x+11 is :

find the equation of the tangents to the circle x^(2)+y^(2)-2x-4y-20=0 which pass through the point (8,1)

Find the point of intersection of the circle x^(2)+y^(2)-3x-4y+2=0 with the x -axis.

The sum of abscissa and ordinate of a point on the circle x^(2)+y^(2)-4x+2y-20=0 which is nearest to (2, (3)/(2)) is :

The tangent of the circle x^(2)+y^(2)-2x-4y-20=0 at (1,7) meets the y -axis at the point

ARIHANT MATHS-CIRCLE -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Find the points on the circle x^(2)+y^(2)-2x+4y-20=0 which are farthes...

    Text Solution

    |

  2. A circle is given by x^2 + (y-1) ^2 = 1, another circle C touches it e...

    Text Solution

    |

  3. If the circles x^2+y^2+2a x+c y+a=0 and points Pa n dQ , then find the...

    Text Solution

    |

  4. A circle touches the x-axis and also touches the circle with center (...

    Text Solution

    |

  5. If a circle passes through the point (a, b) and cuts the circlex x^2+y...

    Text Solution

    |

  6. Let ABCD be a square of side length 2 units. C2 is the circle through ...

    Text Solution

    |

  7. ABCD is a square of side length 2 units. C(1) is the circle touching ...

    Text Solution

    |

  8. ABCD is a square of side length 2 units. C(1) is the circle touching ...

    Text Solution

    |

  9. If the lines 3x-4y-7 = 0 and 2x-3y-5=0 are two diameters of a circle o...

    Text Solution

    |

  10. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

    Text Solution

    |

  11. Tangents are drawn from the point (17, 7) to the circle x^2+y^2=169, S...

    Text Solution

    |

  12. Consider a family of circles which are passing through the point (-...

    Text Solution

    |

  13. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  14. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  15. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  16. Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+3=0 where p is a real number and...

    Text Solution

    |

  17. The point diametrically opposite to the point P(1, 0) on the circle x^...

    Text Solution

    |