Home
Class 12
MATHS
The consecutive sides of a parallelogram...

The consecutive sides of a parallelogram are `4 x+5 y=0` and `7 x+2 y=0 .` One diagonal of the parallelogram is `11 x+7 y=9 .` If the other diagonal is `a x+b y+c=0,` then

A

`a=-1, b=-1, c=2`

B

`a=1, b=-1, c=0`

C

`a=-1, b=-1, c=0`

D

`a=1, b=1, c=1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|306 Videos
  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

Similar Questions

Explore conceptually related problems

The diagonals of a parallelogram PQRS are along the line x+3y=4 and 6x-2y=7 . Then PQRS must be :

The equations to the sides of a triangle are x+2 y=0,4 x+3 y=5 and 3 x+y=0 . The line 3 x-4 y=0 passes through

The area of the triangle whose sides are along x=0, y=0 and 4 x+5 y=20 is

The equations 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 :

The diagonals of a parallelogram P Q R S are along the lines x+3 y=4 and 6 x-2 y=7 . Then P Q R S must be

The sides of a triangle are 3x+4y , 4x+3y and 5x+5y , where x,y gt 0 , then the triangle is

Find the distance of the line 4x + 7y + 5 = 0 from the point (1, 2) along the line 2x - y = 0 .

A point (-4,5) is the vertex of a square and one of its diagonals is 7 x-y+8=0 . The equation of the other diagonals is

Find the distance between the parallel lines 3x - 4y + 7 = 0 and 3x - 4y + 5 = 0

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. The equation of the line perpendicular to 5 x-2 y=7 and passing throug...

    Text Solution

    |

  2. The lines x-y-2=0 and x+y-4=0 and x+3 y=6 meet in the common point

    Text Solution

    |

  3. The consecutive sides of a parallelogram are 4 x+5 y=0 and 7 x+2 y=0 ....

    Text Solution

    |

  4. A point (-4,5) is the vertex of a square and one of its diagonals is 7...

    Text Solution

    |

  5. The centroid of the triangle ABC where A= (2,3), B= (8,10) and C= (5,...

    Text Solution

    |

  6. A variable line (x)/(a)+(y)/(b)=1 is such that a+b=4. The locus of the...

    Text Solution

    |

  7. The foot of the perpendicular from the point (2,4) upon x+y=4 is

    Text Solution

    |

  8. The vertices of triangle ar (6,0),(0,6) and (6,6). The distance betwee...

    Text Solution

    |

  9. The line joining A(2,-7) dand B(6,5) is divided into 4 equal parts by ...

    Text Solution

    |

  10. Locus of a point which moves such that its distance from the X-axis is...

    Text Solution

    |

  11. The points A(1,2),B(2,4) and C(4,8) form a/an

    Text Solution

    |

  12. If the line through A-=(4, -5) is inclined at an angle 45^(@) with the...

    Text Solution

    |

  13. If the straight line ax+by+c=0 always passes through (1, -2), then a, ...

    Text Solution

    |

  14. The incentre of the triangle with vertices (1, sqrt(3)), (0, 0) and (2...

    Text Solution

    |

  15. Let 0 lt alpha lt pi//4 be a fixed angle. If P=(cos theta, sin theta) ...

    Text Solution

    |

  16. If x(1), x(2), x(3) as well as y(1), y(2), y(3) are in G.P. with the s...

    Text Solution

    |

  17. The number of integral points (integral points means both the coordina...

    Text Solution

    |

  18. Orthocentre of triangle whose vertices are (0, 0), (3, 4), (4, 0) is :

    Text Solution

    |

  19. Let O(0,0), P(3,4), Q(6,0) be the vertices of the triangle O P Q. The ...

    Text Solution

    |

  20. Consider three points P-= (-sin (beta-alpha), -cos beta), Q-= (cos (be...

    Text Solution

    |