Home
Class 12
MATHS
In a right angled triangle the vertex at...

In a right angled triangle the vertex at the right angle is `(1,1),` one of the sides of the triangle is `2x-y=1` and the mid point of the hypotenuse is `(5,-2),` find the equation of the other sides of the triangle.

Promotional Banner

Topper's Solved these Questions

  • Coordinates and Straight Lines

    A DAS GUPTA|Exercise EXERCISE|111 Videos
  • Continuity, Differentiability and Graph of Function

    A DAS GUPTA|Exercise Exercise|38 Videos
  • Definite Integration

    A DAS GUPTA|Exercise EXERCISE|62 Videos

Similar Questions

Explore conceptually related problems

A vertex of an equileteral triangle is (2;3) and the equation of the opposite sides is x+y=2. Find the equation of the other sides of triangle.

If the sides of a right triangle are x , x + 1 and x -1 , then the hypotenuse is

The hypotenuse of a right angled triangle has its ends at the points (1,3) and (4,1). Find the equation of the legs (perpendicular sides) of the triangle.

The area of a right angled triangle is 24 cm and one of the sides containing the right angle is 6 cm. The altitude on the hypotenuse is

One side of a right angled triangle is 20 cm and the difference in lengths of its hypotenuses & other side is 8cm. Find the other side and area of the triangle.

The sides of a right-angied triangle forming right angle are in the ratio 5: 12. If the area of the triangle is 270 cm^2 , then the length of the hypotenuse is

A right triangle has hypotenuse x cm and one side of length y cm . If x-y=1 cm , find the length of the third side of the triangle.

A DAS GUPTA-Coordinates and Straight Lines-EXERCISE
  1. Find the equation of the sides of a triangle ABC with A(1,3) as a vert...

    Text Solution

    |

  2. Find the equation of the legs of a right isosceles triangle if the equ...

    Text Solution

    |

  3. In a right angled triangle the vertex at the right angle is (1,1), one...

    Text Solution

    |

  4. The ends of the base of an isosceles triangle are at (2a, 0)and (0, a)...

    Text Solution

    |

  5. Two sides of an isosceles triangle are given by the equations 7x-3=0a ...

    Text Solution

    |

  6. An equilateral triangle ABC has its centroid at the origin and the bas...

    Text Solution

    |

  7. The experimities of the diagonal of a square are (1,1) ,(-2,-1) .Obtai...

    Text Solution

    |

  8. Find the equation of the two straight lines through (1, 2) forming the...

    Text Solution

    |

  9. If two sides of a square are along 5x-12y + 26 = 0 and 5x-12y-65 = 0 t...

    Text Solution

    |

  10. The equations of two sides of a square whose area is 25 sq.units are 3...

    Text Solution

    |

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

    Text Solution

    |

  12. The equation of one side of a rectangle is 3x-4y-10=0 and the coordina...

    Text Solution

    |

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

    Text Solution

    |

  14. A rhombus has two of its sides parallel to the lines y=2x+3 and y=7x+2...

    Text Solution

    |

  15. The area of a parallelogram is 12 square units. Two of its vertices ar...

    Text Solution

    |

  16. Find the orthocentre of the triangle the equations of whose sides are ...

    Text Solution

    |

  17. Two vertices of a triangle are (4,-3) & (-2, 5). If the orthocentre o...

    Text Solution

    |

  18. The equations of two sides of a triangle are 3x-2y+6=0\ a n d\ 4x+5y-2...

    Text Solution

    |

  19. Let A (3, 2) and B (5,1). ABP is an equilateral triangle is constructe...

    Text Solution

    |

  20. In a triangle, ABC, the equation of the perpendicular bisector of AC i...

    Text Solution

    |