Home
Class 12
MATHS
Let a circle be given by 2x(x-a)+y(2y-b)...

Let a circle be given by `2x(x-a)+y(2y-b)=0,(a!=0,b!=0)` .
Find the condition on `a`and `b` if two chords each bisected by the x-axis, can be drawn to the circle from `(a , b/2)`

Text Solution

Verified by Experts

The correct Answer is:
`=>a^(2)gt2b^(2)`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise EXAMPLE|2 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 1|18 Videos
  • BIONOMIAL THEOREM

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

    ARIHANT MATHS|Exercise Complex Number Exercise 8|3 Videos

Similar Questions

Explore conceptually related problems

Find the number of common tangents that can be drawn to the circles x^2+y^2-4x-6y-3=0 and x^2+y^2+2x+2y+1=0

Find the equation of that chord of the circle x^2 + y^2 = 15, which is bisected at the point (3,2)

Find the equation of the chord of x^(2)+y^(2)-6x+10y-9=0 which is bisected at (-2,4)

Find the length of the chord cut-off by y=2x+1 from the circle x^2+y^2=2

Find the middle point of the chord intercepted on line lx + my + n = 0 by circle x^2+y^2=a^2 .

If the circle x^2+y^2+2ax+8y+16=0 touches x axis, then the vlaue of a is:

Find the condition that one of the lines given by ax^2+2hxy+by^2=0 may coincide with one of the lines given by a' x^2 +2h'xy+b'y^2=0

Find the condition if the circle whose equations are x^2+y^2+c^2=2a x and x^2+y^2+c^2-2b y=0 touch one another externally.

Find the parametric equation of the circles : 2x^2 + 2y^2-5x-7y-3=0 .

Find the equation of a circle concentric with x^2 + y^2-4x -6y -3 = 0 and which touches the y-axis.

ARIHANT MATHS-CIRCLE -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let a circle be given by 2x(x-a)+y(2y-b)=0,(a!=0,b!=0) . Find the con...

    Text Solution

    |

  2. Find the derivative of (a/x^4 - b/x^2 + cosx)

    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 (0...

    Text Solution

    |

  5. Find the derivative of (4x - 2)

    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 of ...

    Text Solution

    |

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

    Text Solution

    |

  11. Find the derivative of (ax + b)^n

    Text Solution

    |

  12. Consider a family of circles which are passing through the point (-1,1...

    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

    |