Home
Class 11
MATHS
Two sides of an isosceles triangle are g...

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

Text Solution

Verified by Experts

Let us suppose that `/_\ABC` is an isosceles triangle with its sides `AB` and `AC` equal.
So, `AB=AC` and `/_ABC=/_ACB`

Now, as given, the equations of two equal sides of the isosceles triangle `/_\ABC` are ,
`7x−y+3=0`
and `x+y−3=0`
Then, the above two equations can be simplified as,
`7x−y+3=0`
...
Promotional Banner

Topper's Solved these Questions

  • THE CIRCLE

    RD SHARMA|Exercise Solved Examples And Exercises|144 Videos
  • TRANSFORMATION FORMULAE

    RD SHARMA|Exercise Solved Examples And Exercises|145 Videos

Similar Questions

Explore conceptually related problems

Two equal sides of an isosceles triangle are given by equations 7x - y + 3 = 0 and x + y - 3 = 0 . It's third side passes through the point (1, -10) . Determine the equation of the third side. (A) x - 3y - 31 = 0 (B) 3x + y + 7 = 0 (C) Both (A), (B) (D) Neither (A), nor (B)

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

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 equal sides of an isosceles triangle are given by the equations 7x-y+3=0 and x+y-3=0. The slope of the third side is

Two equal sides of an isosceles triangle are 7x-y+3=0,x-y-3=0 and its third side passes through the point (1,0) the equation of the third side is (A) 3x+y+7=0 (B) x-3y+29=0 (C) 3x+y+3=0( D) 3x+y-3=0

Equation of two equal sides of a triangle are the lines 7x+3y-20=0 and 3x+7y-20=0 and the third side passes through the point (-3,, 3), then the equation of the third side can be -

The equations of two sides of a triangle are 3y-x-2=0 and y+x-2=0. The third side,which is variable,always passes through the point (5,-1). Find the range of the values of the slope of the third side,so that the origin is an interior point of the triangle.

RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
  1. Prove that the medians of a triangle are concurrent and find the posit...

    Text Solution

    |

  2. Show that the altitudes of a triangle are concurrent

    Text Solution

    |

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

    Text Solution

    |

  4. Let P (x1,y1) be a point and let ax + by+ c = 0 be a line. If L (h, k)...

    Text Solution

    |

  5. Find the equations the sides of an isosceles right angled triangle the...

    Text Solution

    |

  6. A line 4x+y=1 passes through the point A(2,-7) and meets line BC at B ...

    Text Solution

    |

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

    Text Solution

    |

  8. If two opposite vertices of square are (1,2) and (5.8), find the coord...

    Text Solution

    |

  9. Find the equation of the straight line which passes through the inte...

    Text Solution

    |

  10. Find the equation of the straight line which passes through the point ...

    Text Solution

    |

  11. If A(2,0),B(0,2)a n dC(0,7) are three vertices, taken in order, of an ...

    Text Solution

    |

  12. Prove that the line joining the mid-points of the two sides of a tr...

    Text Solution

    |

  13. A ray of light passing through the point (1,2) reflects on the x-axis ...

    Text Solution

    |

  14. Prove that A(4,3),B(6,4)a n dC(5,6)a n dD(3,5) are the angular points ...

    Text Solution

    |

  15. What is the value of y so that the line through (3,y)a n d(2,7) is par...

    Text Solution

    |

  16. Let A(6,4)a n dB(2,12) be two given points. Find the slope of a line p...

    Text Solution

    |

  17. Find the angle between the lines joining the point (0,0),(2,3) and the...

    Text Solution

    |

  18. Determine x so that the line passing through (3,4)a n d(x ,5) makes an...

    Text Solution

    |

  19. If A(-2,1),B(2,3)a n dC(-2,-4) are three points, find the angle betwee...

    Text Solution

    |

  20. Find the equation of a straight line which passes through the point of...

    Text Solution

    |