Home
Class 11
MATHS
The diagonals of a parallelogram PQRS ar...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE ENGLISH|Exercise All Questions|508 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|983 Videos

Similar Questions

Explore conceptually related problems

If the diagonals of a parallelogram ABCD are along the lines x+5y=7 and 10x-2y=9 , then ABCD must be a

Two sides of a parallelogram are along the lines x+y=3 and x=y+3. If its diagonals intersect at (2, 4) , then one of its vertices is

Prove that the diagonals of the parallelogram formed by the four lines 3x + y = 0, 3y + x = 0, 3x + y = 4, 3y + x = 4 are at right angles.

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

The angle between the lines 2x = 3 y=-z and 6x =-y= -4x is

Prove that the diagonals of the parallelogram formed by the lines sqrt(3)x+y=0, sqrt(3) y+x=0, sqrt(3) x+y=1 and sqrt(3) y+x=1 are at right angles.

The angle between the lines 2x=3y=-z and 6x=-y=-4z is

Find the angle between the lines 2x=3y=-z and 6x=-y=-4z

If sum of the perpendicular distances of a variable point P (x , y) from the lines x + y - 5 = 0 and 3x - 2y +7 = 0 is always 10. Show that P must move on a line.

If sum of the perpendicular distances of a variable point P (x , y) from the lines x + y =5 and 3x - 2y +7 = 0 is always 10. Show that P must move on a line.

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. If each of the points (x1,4),(-2,y1) lies on the line joining the poi...

    Text Solution

    |

  2. If the lines a1x+b1y+1=0,a2x+b2y+1=0 and a3x+b3y+1=0 are concurrent,...

    Text Solution

    |

  3. The diagonals of a parallelogram PQRS are along the lines x+3y =4 and ...

    Text Solution

    |

  4. For the straight lines 4x+3y-6=0 and 5x+12 y+9=0, find the equation of...

    Text Solution

    |

  5. A straight line segment of length/moves with its ends on two mutually ...

    Text Solution

    |

  6. Find the foot of the perpendicular from the point (2,4) upon x+y=1.

    Text Solution

    |

  7. The lines x+y-1=0,(m-1)x+(m^2-7)y-5=0, and (m-2)x+(2m-5)y=0 are ...

    Text Solution

    |

  8. In triangleABC, vertex A is (1, 2). If the internal angle bisector of ...

    Text Solution

    |

  9. The equation of the line which bisects the obtuse angle between the li...

    Text Solution

    |

  10. If the line ax+ by =1 passes through the point of intersection of y...

    Text Solution

    |

  11. A straight line L is perpendicular to the line 5x-y=1 . The area of th...

    Text Solution

    |

  12. The reflection of the point (4,-13) about the line 5x+y+6=0 is (-1,-14...

    Text Solution

    |

  13. Triangle A B C with A B=13 ,B C=5, and A C=12 slides on the coordinate...

    Text Solution

    |

  14. The line y=(3x)/4 meets the lines x-y+1=0 and 2x-y=5 at A and B respec...

    Text Solution

    |

  15. In a plane there are two families of lines y=x+r, y=-x+r, where r in {...

    Text Solution

    |

  16. Line x/a+y/b=1 cuts the co-ordinate axes at A(a,0) and B(0,b) and the ...

    Text Solution

    |

  17. If P is a point (x ,y) on the line y=-3x such that P and the point...

    Text Solution

    |

  18. The points (1, 3) and (5, 1) are two opposite vertices of a rectangle...

    Text Solution

    |

  19. The ends A and B of a straight line segment of constant length c slide...

    Text Solution

    |

  20. All points lying inside the triangle formed by the points (1. 3). (5, ...

    Text Solution

    |