Home
Class 11
MATHS
Show that the lines (x+2a)^2-3y^2=0,x=a ...

Show that the lines `(x+2a)^2-3y^2=0,x=a` form an equilateral triangle.

Text Solution

Verified by Experts

The correct Answer is:
`:." "DeltaOAB` is an equilateral triangle.
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 4(a) III. |7 Videos
  • PAIR OF STRAIGHT LINES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 4(b) I. |2 Videos
  • PAIR OF STRAIGHT LINES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 4(a) I. |4 Videos
  • MATRICES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS |45 Videos
  • PRODUCT OF VECTORS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS|46 Videos

Similar Questions

Explore conceptually related problems

Show that the lines x^(2)+16xy-11y^(2)=0 form an equilateral triangle with the line 2x+y+1=0 and find its area.

Show that the lines form an equilateral triangle and find its area (x+2a)^(2)-3y^(2)=0,x-a=0

Show that the lines form an equilateral triangle and find its area x^(2)-4xy+y^(2)=0, x+y-3=0

Show that following lines forms an equilateral triangle and find its area x^(2)-4xy^(2)=0, x+y-3=0

Show that the straight lines represented by 3x^2+48xy+23y^2=0,3x-2y+13=0 form an equilateral triangle of area (13)/(sqrt(3)) sq. units

Show that following lines forms an equilateral triangle and find its area 3x^(2)+48xy+23y^(2)=0, 3x-2y+13=0

Two line from the family of lines (1+2lambda)x-(1+lambda)y+1=0 and the line x+y=5 form an equilateral triangle. The equation of the two lines can be

Equation of pair of lines through (0,0) and forming an equilateral triangle with the line x-3y+4=0 is

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PAIR OF STRAIGHT LINES -EXERCISE - 4(a) II.
  1. Show that the following pairs of lines are equally inclined to each ot...

    Text Solution

    |

  2. Show that the following pairs of lines are equally inclined to each ot...

    Text Solution

    |

  3. Show that the following pairs of lines are equally inclined to each ot...

    Text Solution

    |

  4. Find the value of h if the slopes of the lines represented by 6x^(2)+2...

    Text Solution

    |

  5. If ax^(2) + 2hxy + by^(2) = 0 represents two straight lines such that ...

    Text Solution

    |

  6. Show that equation of pair of lines passing through origin and making ...

    Text Solution

    |

  7. Find the equation to the pair of lines passing through origin and maki...

    Text Solution

    |

  8. Show that the lines (x+2a)^2-3y^2=0,x=a form an equilateral triangle.

    Text Solution

    |

  9. Show that pair of bisectors of angles between the lines (ax + by)^(2) ...

    Text Solution

    |

  10. The adjacent sides of a parallelogram are 2x^(2)-5xy+3y^(2)=0 and one ...

    Text Solution

    |

  11. Find the centriod and hence find the area of the triangle formed by th...

    Text Solution

    |

  12. Find the centriod and hence find the area of the triangle formed by th...

    Text Solution

    |

  13. Find the equation of pair of lines intersecting at (2, -1) and Perp...

    Text Solution

    |

  14. Find the equation of pair of lines intersecting at (2, -1) and Perp...

    Text Solution

    |

  15. Find the equation of the bisector of the acute angle between the lines...

    Text Solution

    |

  16. Find the equation of bisector of the obtuse angle between the lines x+...

    Text Solution

    |