Home
Class 11
MATHS
The lines 2x-3y=5 and 3x-4y=7 are the di...

The lines `2x-3y=5` and `3x-4y=7` are the diameters of a circle of area 154 sq. units. Then the equation of the circle is `x^2+y^2+2x-2y=62` `x^2+y^2+2x-2y=47` `x^2+y^2-2x+2y=47` `x^2+y^2-2x+2y=62`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If the lines 2x-3y=5 and 3x-4y=7 are the diameters of a circle of area 154 square units, then obtain the equation of the circle.

The lines 2x-3y=5 and 3x-4y=7 are diameters of a circle of are 154 sq. units. Taking pi=22/7 , show that the equation of the circle is x^(2)+y^(2)-2x+2y=47

If the lines 2x + 3y + 1 = 0 and 3x - y-4 = 0 lie along two diameters of a circle of circumference 10 pi , then the equation of circle is (i) x^(2) + y^(2) + 2x + 2y + 23 = 0 (ii) x^(2) + y^(2) - 2x - 2y - 23 = 0 (iii) x^(2) + y^(2) - 2 x + 2y - 23 = 0 (iv) x^(2) + y^(2) + 2x - 2y + 23 = 0

The radical centre of the circles x^2+y^2-x+3y-3=0 , x^2+y^2-2x+2y-2=0, x^2+y^2+2x+3y-9=0

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

The radical centre of the circles x^2+y^2=9, x^2+y^2-2x-2y-5=0 , x^2+y^2+4x+6y-19=0 is

The point of tangency of the circles x^2+ y^2 - 2x-4y = 0 and x^2 + y^2-8y -4 = 0 , is

The point of tangency of the circles x^2+ y^2 - 2x-4y = 0 and x^2 + y^2-8y -4 = 0 , is

The angle of intersection of the circles x^(2)+y^(2)=4 and x^(2)+y^(2)+2x+2y , is

Find the radical center of the circles x^2+y^2+4x+6y=19 ,x^2+y^2=9,x^2+y^2-2x-4y=5,

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The radius of the tangent circle that can be drawn to pass through the...

    Text Solution

    |

  2. Find the equation of the chord of the circle x^2+y^2=a^2 passing throu...

    Text Solution

    |

  3. The lines 2x-3y=5 and 3x-4y=7 are the diameters of a circle of area 15...

    Text Solution

    |

  4. Find the middle point of the chord of the circle x^2+y^2=25 intercepte...

    Text Solution

    |

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

    Text Solution

    |

  6. Find the equation of a circle with center (4, 3) touching the circle x...

    Text Solution

    |

  7. Find the equation of the tangent to the circle x^2 + y^2 - 2ax - 2ay +...

    Text Solution

    |

  8. Find the condition if the circle whose equations are x^2+y^2+c^2=2a x ...

    Text Solution

    |

  9. Through a fixed point (h, k) secants are drawn to the circle x^2 +y^2 ...

    Text Solution

    |

  10. A variable chord of the circle x^2+y^2=4 is drawn from the point P(3,5...

    Text Solution

    |

  11. In triangle A B C , the equation of side B C is x-y=0. The circumcente...

    Text Solution

    |

  12. Let a and b represent the lengths of a right triangles legs. If d is t...

    Text Solution

    |

  13. If the chord y=m x+1 of the circles x^2+y^2=1 subtends an angle of 45^...

    Text Solution

    |

  14. (6,0),(0,6),a n d(7,7) are the vertices of a A B C . The incircle of ...

    Text Solution

    |

  15. If O is the origin and O Pa n dO Q are the tangents from the origin to...

    Text Solution

    |

  16. The range of values of r for which the point (-5+r/sqrt(2),-3+r/sqrt...

    Text Solution

    |

  17. A square is inscribed in the circle x^2+y^2-2x+4y-93=0 with its sides ...

    Text Solution

    |

  18. Statement 1 : The least and greatest distances of the point P(10 ,7...

    Text Solution

    |

  19. Statement 1 : The number of circles passing through (1, 2), (4, 8) ...

    Text Solution

    |

  20. The locus of the midpoint of a line segment that is drawn from a given...

    Text Solution

    |