Home
Class 11
MATHS
A rectangle has two opposite vertices at...

A rectangle has two opposite vertices at the points `(1,2)a n d(5,5)dot` If the other vertices lie on the line `x=3` , find the equations of the sides of the rectangle.

Text Solution

Verified by Experts

The correct Answer is:
`x+2y-5=0`, `2x-y-5=0`, `x+2y-15=0`, `2x-y=0`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Chapter test|12 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Exercise|10 Videos

  • STATISTICS

    MODERN PUBLICATION|Exercise Chapter Test|7 Videos

  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Chapter Test (3)|12 Videos

Similar Questions

Explore conceptually related problems

A rectangle has two opposite vertices at the points (1,2) and (5,5). If the other vertices lie on the line x=3, find the equations of the sides of the rectangle.

A rectangle has two opposite vertices at the points (1,2) and (5,5). If the other vertices lie on the line x=3, then their coordinates are

A rectangle has two opposite vertices at the points (1,2) and (5,5) .It these vertices lie on the line x=3, find the other vertices of the rectangle.

If two opposite vertices of a square are (1,2) and (5,8) find the coordinates of its other two vertices and the equations of its sides.

Two opposits vertices of a rectangle are (1,3) and (5,1). The other two vertices lie on the line y=2x+c. Find c and the remaining two vertices.

If two opposite vertices of square are (1,2) and (5.8), find the coordinates of its other two vertices and the equations of its sides.

(1)the points (1,3) and (5,1) are two opposite vertices of rectangle. the other two vertices lie on the line y=2x+c, the remaining vertices are ? (2) Let PSbe the median of the triangle with vertices P(2,2),Q(6,-1),R(2,3).the equation of the line passing through (1,-1)and parallel to PSis

MODERN PUBLICATION-STRAIGHT LINES -Revision exercise
  1. Show that the plane a x+b y+c z+d=0 divides the line joining the point...

    Text Solution

    |

  2. Prove that (-1,4) is the orthocentre of the triangle formed by the lin...

    Text Solution

    |

  3. The equation of the perpendicular bisector of the side AB of a triangl...

    Text Solution

    |

  4. The opposite angular points of a square are (3,4) a) and (1,-1). Then ...

    Text Solution

    |

  5. Using the concept of slope, prove that medians of an equilateral tr...

    Text Solution

    |

  6. Show that the perpendicular drawn from the point (4,1) on the line seg...

    Text Solution

    |

  7. A rectangle has two opposite vertices at the points (1,2)a n d(5,5)dot...

    Text Solution

    |

  8. Find the coordinates of the incentre and centroid of the triangle whos...

    Text Solution

    |

  9. The vertices of a triangle are A(x1, x1tantheta1),B(x2, x2tantheta2)a ...

    Text Solution

    |

  10. The points (1, 3) and (5, 1) are two opposite vert of a rectangle. Th...

    Text Solution

    |

  11. One side of a rectangle lies along the line 4x+7y+5=0. Two of its vert...

    Text Solution

    |

  12. Two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0 . If ...

    Text Solution

    |

  13. One side of a square is inclined to the x-axis at an angle alpha and o...

    Text Solution

    |

  14. On the portion of the line x+3y-3=0 which is intercepted between the c...

    Text Solution

    |

  15. Find the direction in which a straight line must be drawn through the...

    Text Solution

    |

  16. The hypotenuse of a right angled isosceles triangle has its ends at th...

    Text Solution

    |

  17. A ray of light passing through the point (1,2) reflects on the x-a xi ...

    Text Solution

    |

  18. A person standing at the junction (crossing) of two straight paths rep...

    Text Solution

    |

  19. Let (2,1), (-3,-2) and (a, b) form a triangle. Show that the collectio...

    Text Solution

    |

  20. The area of a parallelogram formed by the lines a x+-b x+-c=0 is (c^2)...

    Text Solution

    |