Home
Class 11
MATHS
Two equal sides of an isosceles triangle...

Two equal sides of an isosceles triangle are 7x-y+3=0 and x+y-3=0. Its third side passes the point (1,-10).
Determine the equation of the third side.

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE PUBLICATION|Exercise All Questions|507 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|986 Videos

Similar Questions

Explore conceptually related problems

Two equal sides of an isosceles triangle are given by 7x-y+3=0 and x+y=3 , and its third side passes through the point (1,-10) . Find the equation of the third side.

Two sides of an isoceles triangle are given by the equations 7x-y+3=0andx+y-3=0 and its third side passes through the point (1,-10) . Determine the equation of the third side.

The equations of two sides of a triangle are 3x-2y+6=0\ a n d\ 4x+5y-20\ a n d\ the orthocentre is (1,1). Find the equation of the third side.

The equations of the two sides of a square are 5x+12y-26=0 and 5x+12y+13=0. If one of the remaining sides passes through the point (5,-1) ,find the equations of of these sides.

The equations of the perpendicular bisectors of the sides AB and AC of a triangle ABC are x -y+5=0 and x+2y=0 respectively . If the point A is (1,-2) , find the equation of the line BC.

The equations of the perpendicular bisectors of the sides A Ba n dA C of triangle A B C are x-y+5=0 and x+2y=0 , respectively. If the point A is (1,-2) , then find the equation of the line B Cdot

Two sides of a square have the equations 5x + 12 y = 10 and 5x + 12y + 29 = 0 and the third side passes through the point (3,5) . Find the equations of the other two sides of the square.

The equation of the hypotenuse of an isosceles right angled triangle is x+y+1=0 and the coordinates of its opposite vertex are (2,3) . Find the equations of the other two sides of the triangle.

The equation of the hypotenuse of a right angled isosceles triangle is 3x+4y=4 and the coordinates of the opposite vertex are (2,2) . Find the equations of its other sides.

CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. The incident ray is along the line 24x+7y+5=0. Find the equation of mi...

    Text Solution

    |

  2. If the line y =sqrt(3)x cuts the curve x^3+y^3+3x y+5x^2+3y^2+4x+5y-1=...

    Text Solution

    |

  3. Two equal sides of an isosceles triangle are 7x-y+3=0 and x+y-3=0. Its...

    Text Solution

    |

  4. The area of a parallelogram formed by the lines a x+-b y+-c=0 is

    Text Solution

    |

  5. The vertices, B and C of a triangle ABC lie on the lines 3y=4x and y=...

    Text Solution

    |

  6. If each of the points (x1, 4), (-2,y1) lies on the line joining the po...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. A straight line segment AB of length 'a' moves with its ends on the ax...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. In Delta ABC , vertex A is (1,2). If the internal angle bisector of an...

    Text Solution

    |

  14. Find the equation of the bisector of the obtuse angle between of the l...

    Text Solution

    |

  15. The line ax+by=1 passes through the point of intertsection of y=x tan ...

    Text Solution

    |

  16. A straight line L is perpendicular to the line 5x-y=1. The aera of the...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |