Home
Class 12
MATHS
If pairs of opposite sides of a quadrila...

If pairs of opposite sides of a quadrilateral are `x^(2)-7x+6=0` and `y^(2)-14y+40=0` then equations of its diagonals are

A

`6x+5y=56, 5x+6y=14`

B

`6x+5y=56, 5y-6x=14`

C

`6x-5y=56,6x+5y=14`

D

`6x-5y=56,6x-5y=14`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|19 Videos

  • MATRICES

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|26 Videos

  • PLANE IN SPACE

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP- CHAPTERS 6,7,22|1 Videos

Similar Questions

Explore conceptually related problems

The equation to a pair of opposite sides of a parallelogram are x^(2)-5x+6=0 and y^(2)-6y+5=0. The equations to its diagonals are x+4y=13,y=4x-7 (b) 4x+y=13,4y=x-74x+y=13,y=4x-7y-4x=13,y+4x-7

The equations of the sides of a parallelogram are x = 2, x = 3 and y = 1, y = 5. Equations to the pair of diagonals are

Two adjacent sides of a parallelogram are 4x + 5y = 0 and 7x + 2y = 0 . if the equation of it's one diagonal be 11x +7y = 9 , Area of parallelogram is

The diagonal of the rectangle formed by the lines x^(2)-7x+6=0 and y^(2)-14y+40=0 is

Two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0. If the equation of one diagonal is 11x=7y=9, find the equation of the other diagonal.

The equation of the circumcricle of the x^(2)-8x+12=0 and y^(2)-14y+45=0 is

The four sides of a quadrilateral are given by the equation xy(x-2)(y-3)=0 The equation of the line parallel to x-4y=0 that divides the quadrilateral in two equal areas is

MARVEL PUBLICATION-PAIR OF STRAIGHT LINES-TEST YOUR GRASP
  1. If pairs of opposite sides of a quadrilateral are x^(2)-7x+6=0 and y^(...

    Text Solution

    |

  2. Joint equation of the X-axis and the bisector of the angle in the firs...

    Text Solution

    |

  3. If m is the slope of one fo the two lines jointly given by the equatio...

    Text Solution

    |

  4. If the two lines (3x-y)^(2)=k(x^(2)+y^(2)) are mutualy perpendiculart ...

    Text Solution

    |

  5. If kx+3y=0 is one of the two lines 5x^(2)+3xy-y^(2)=0 then k^(2)-9k=

    Text Solution

    |

  6. If one of the two lines 3x^(2)-kxy-y^(2)=0 bisects an angle between th...

    Text Solution

    |

  7. If the two lines kx^(2)+5xy+9y^(2)=0 are equally inclined with the cor...

    Text Solution

    |

  8. Combined equation of the two lines passing through the origin, forming...

    Text Solution

    |

  9. If the lines 3x^(2)-kxy-3y^(2)=0 and x+2y=8 form and isosceles triangl...

    Text Solution

    |

  10. Length of each leg of an isosceles right angled triangle, formed by th...

    Text Solution

    |

  11. If the equation kxy+10x+6y+4=0 represents a pair of lines then : k=

    Text Solution

    |

  12. If the angle between the lines ax^(2)+xy+by^(2)=0 is 45^(@), then

    Text Solution

    |

  13. If the equation ax^(2)+ay^(2)+2gx+2fy+c=0 represents a pair of lines t...

    Text Solution

    |

  14. If 3h^(2)=4ab, then the ratio of the slopes of the lines ax^(2)+2hxy+b...

    Text Solution

    |

  15. Lines represented by the equation 5x^(2)-2xy+2y^(2)=0 are

    Text Solution

    |

  16. If one of the lines kx^(2)+xy-y^(2)=0 bisects an angle between the co-...

    Text Solution

    |

  17. Measure of angle between the lines sqrt(2)(x^(2)+y^(2))=4xy is

    Text Solution

    |

  18. If the angle between the lines 3x^(2)-4y^(2)=0 is tan^(-1)k, then k=

    Text Solution

    |

  19. Joint equation of two lines through the origin and parallel to the pai...

    Text Solution

    |

  20. If the equation x^(2)+2hxy+2fy+c=0 represents a pair of lines, then

    Text Solution

    |