Home
Class 12
MATHS
Find the equation of a circle whose diam...

Find the equation of a circle whose diameter has the length 20 and the equation of two of its diameters are `2x+y=6 and 3x+2y=4`.

Promotional Banner

Topper's Solved these Questions

  • Circles

    A DAS GUPTA|Exercise EXERCISE|122 Videos

  • Binomial Theorem for Positive Integrel Index

    A DAS GUPTA|Exercise Exercise|113 Videos

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

Similar Questions

Explore conceptually related problems

Q.find the equation of the circle whose diameter has the length 20 and the equation of two of its diameters are 2x+y=6 and 3x+2y=4

Find the equation of a circle whose diameters are 2x-3y+12 and x+4y-5=0 and area is 154 square units.

Find the equation of the circle whose diameter is the portion of the line 3x+4y-14=0 , intercepted by the lines y=x and 11x = 4y .

Find the equations of the circles drawn on the diagonals of the rectangle as its diameter whose sides are x=6,x=-3,y=3 and y=-1

Find the equation of the circle drawn on the diagonals of the rectangle as its diameter whose sides are : (i) x = 6 , x = - 3, y = 3 and y = - 1 (ii) x = 5 , x = 8 , y = 4 , y = 7 .

Find the equation of a circle, the equation of whose two diameters are x + y = 6 and 3x +4y =16 and radius is 10.

Find the equation of the circle whose diameter is the common chord of the circles x^(2) + y^(2) + 2x + 3y + 1 = 0 and x^(2) + y^(2) + 4x + 3y + 2 = 0

A DAS GUPTA-Circles-EXERCISE
  1. Find the equation of a circle whose diameter has the length 20 and the...

    Text Solution

    |

  2. Find the equations of the circles touching y-axis at (0,3) and making ...

    Text Solution

    |

  3. Find the equation of the circle which passes through the points (1,-2)...

    Text Solution

    |

  4. The abscissa of the two points A and B are the roots of the equation x...

    Text Solution

    |

  5. Let A = (0,1) and B=(-p/2,(q+1)/2) be two fixed points in a plane. Let...

    Text Solution

    |

  6. Find the area of the triangle formed by the lines y = x, y= 2x, y=3x+4

    Text Solution

    |

  7. Find the length of the chord x^2+y^2-4y=0 along the line x+y=1. Also f...

    Text Solution

    |

  8. Prove that the circles x^2 + y^2-9 = 4r^2,r = 1,2,3 cut off equal int...

    Text Solution

    |

  9. Determine all those values of p in R for which two chords can be drawn...

    Text Solution

    |

  10. A circle of radius 2 lies in the first quadrant and touches both the a...

    Text Solution

    |

  11. Show that the circles x^2+y^2-10 x+4y-20=0 and x^2+y^2+14 x-6y+22=0 to...

    Text Solution

    |

  12. Two circles, each of radius 5 units, touch each other at (1, 2). If th...

    Text Solution

    |

  13. Prove that x^2+y^2=a^2 and (x-2a)^2+y^2=a^2 are two equal circles touc...

    Text Solution

    |

  14. The equation of the circle which touches the circle x^2+y^2-6x+6y+17 =...

    Text Solution

    |

  15. Find the area of equilateral triangle inscribed in a circle x^2+y^2+2g...

    Text Solution

    |

  16. Find the area of the triangle formed by the tangents from the point (4...

    Text Solution

    |

  17. Find the equations of the circles passing through the point (-4,3) and...

    Text Solution

    |

  18. The equation of one of the circles which touch the pair of lines x^2 -...

    Text Solution

    |

  19. Lines 5x + 12 y -10=0 and 5x - 12y - 40=0touch a circle C(1) of diamet...

    Text Solution

    |

  20. Find the equation of the circle passing through the points A(4,3). B(...

    Text Solution

    |