Home
Class 11
MATHS
Show that the lines (a+b)x+(a-b)y-2ab=0,...

Show that the lines `(a+b)x+(a-b)y-2ab=0,(a-b)x+(a+b)y-2ab=0andx+y=0` form an isosceles triangle whose vertical angle is `2tan^(-1)((a)/(b))`.

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    CHHAYA PUBLICATION|Exercise EXERCISE 2C (Multiple Choice Type Questions)|12 Videos

  • STRAIGHT LINE

    CHHAYA PUBLICATION|Exercise EXERCISE 2C (Very Short Answer Type Questions )|8 Videos

  • STRAIGHT LINE

    CHHAYA PUBLICATION|Exercise EXERCISE 2B (Short Answer Type Questions)|1 Videos

  • MATHEMATICAL INDUCTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|20 Videos

Similar Questions

Explore conceptually related problems

The lines (a+b)x + (a-b) y-2ab=0, (a-b)x+(a+b)y-2ab = 0 and x+y=0 form an isosceles triangle whose vertical angle is

Two sides of a triangle are the lines (a+b)x+(a-b)y-2ab=0 and (a-b)x+(a+b)y-2ab=0 . If the triangle is isosceles and the third side passes through point (b-a,a-b) then the equation of third side can be :

Triangle formed by variable lines (a+b)x+(a-b)y-2ab=0 and (a-b)x+(a+b)y-2ab=0 and x+y=0 is (where a, b in R )

The straight lines 3x+y-4=0,x+3y-4=0 and x+y=0 form a triangle which is : a) isosceles b) right-angled c) equilateral d) scalene

The points (-a,-b).(0,0),(a,b) and (a^2, ab) are

If the straight lines 2x+3y-1=0,x+2y-1=0,and ax+by-1=0 form a triangle with the origin as orthocentre, then (a , b) is given by

Show that abs((a,b,c),(a+2x,b+2y,c+2z),(x,y,z)) =0

Show that straight lines (A^2-3B^2)x^2+8A Bx y+(B^2-3A^2)y^2=0 form with the line A x+B y+C=0 an equilateral triangle of area (C^2)/(sqrt(3)(A^2+B^2)) .

Prove that (a b+x y)(a x+b y)>4a b x y(a , b ,x ,y >0)dot

CHHAYA PUBLICATION-STRAIGHT LINE-EXERCISE 2B (Long Answer Type Questions )
  1. Find the orthocentre of the triangle whose vertices are (2,7), (-6,1) ...

    Text Solution

    |

  2. The coordinates of two vertices of a triangle are (-2,3) and (5,-1) ....

    Text Solution

    |

  3. The equations of two adjacent side of a parallelogram are 4x+5y=0 and ...

    Text Solution

    |

  4. Find the equation of the straight line which parallel with 3x+2y-6=0 a...

    Text Solution

    |

  5. The line 3x+2y=24 meets the y-axis at A and the x-axis at Bdot The per...

    Text Solution

    |

  6. Show that the lines (a+b)x+(a-b)y-2ab=0,(a-b)x+(a+b)y-2ab=0andx+y=0 f...

    Text Solution

    |

  7. Show the equations of the straight lines which pass through (3,2) and ...

    Text Solution

    |

  8. Find the equation of the straight line which pass through the point (s...

    Text Solution

    |

  9. Find the area of the triangle bounded by the straight line 2x+3y=6 and...

    Text Solution

    |

  10. Two equation of a side of a rectangle is 4x+7y+5=0 and the two verti...

    Text Solution

    |

  11. Find the distance of the line 3x-2y-1=0 from the point (5,3) measur...

    Text Solution

    |

  12. The coordinates of one vertex of an equilateral triangle are (2,3) an...

    Text Solution

    |

  13. The equation of the hypotenuse of an isosceles right angled triangle i...

    Text Solution

    |

  14. The coordinates of the ends of one diagonal of a rectangle are (6,1) a...

    Text Solution

    |

  15. Show that the four lines y=0,y=2,y-sqrt(3)x=0andy+sqrt(3)x=8sqrt(3) fo...

    Text Solution

    |

  16. Prove that the diagonals of the parallelogram formed by the lines ...

    Text Solution

    |

  17. The sides AB,BC , CD and DA of a quadrilateral have the equations x+2...

    Text Solution

    |

  18. A straight line L is perpendicular to the straight line 5x-y=1, . The ...

    Text Solution

    |

  19. The equations of the perpendicular bisectors of the sides AB and AC of...

    Text Solution

    |

  20. A ray of light is coming from a point (4,5) . Upon reaching the x- axi...

    Text Solution

    |