Home
Class 12
MATHS
Find the equations to the pair of lines...

Find the equations to the pair of lines through the origin which are perpendicular represented by `6x^(2) - xy - 12y^(2) = 0`.

Text Solution

Verified by Experts

The correct Answer is:
`12x^(2) - xy - 6y^(2) = 0`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

Find the joint equation of the pair of lines through the origin which are perpendicular to the lines given by 5x^(2) + 2xy - 3y^(2) = 0.

Find the combined equation of the pair of lines through the origin and perpendicular to the lines represented by : (1) 5x^(2) - 8xy + 3y^(2) = 0 (2) x^(2) + 4xy - 5y^(2) = 0 (3) ax^(2) + 2hxy + by^(2) = 0 .

The combined equation of the pair of lines through the point (1, 0) and perpendicular to the lines represented by 2x^(2)-xy-y^(2)=0 , is

The equation of the lines through the origin and which are perpendicular to the pair of x^(2)-3xy+2y^(2)=0 is

The joint equation of lines passing through the origin and perpendicular to lines represented by 2x^(2)-3xy-9y^(2)=0 is

The joint equation of lines passing through the origin and perpendicular to lines represented by x^(2)+xy-y^(2)=0 is

The joint equation of lines passing through the origin and perpendicular to lines represented by 5x^(2)+2xy-3y^(2)=0 is

The joint equation of lines passing through the origin and perpendicular to lines represented by x^(2)+4xy-5y^(2)=0 is

Find the combined equation of the pair of lines through the point (1,0) and parallel to the lines represented by 2x^(2)-xy-y^(2)=0

RESONANCE-DPP-QUESTION
  1. Find the coordinates of the centre of the circle inscribed in a triang...

    Text Solution

    |

  2. For the straight lines 2x - y + 1 = 0 and x - 2y - 2 = 0 find the equ...

    Text Solution

    |

  3. Find the equations to the pair of lines through the origin which are ...

    Text Solution

    |

  4. Find the angle between the pair of straight lines x^(2) - 3xy +2y^(2) ...

    Text Solution

    |

  5. Solve sqrt(5-x) gt x + 1

    Text Solution

    |

  6. Draw the graph of y = |-ln|-x||

    Text Solution

    |

  7. Consider a triangle ABC with vertex A(2, -4). The internal bisectors o...

    Text Solution

    |

  8. Consider a triangle ABC with vertex A(2, -4). The internal bisectors o...

    Text Solution

    |

  9. Consider a triangle ABC with vertex A(2, -4). The internal bisectors o...

    Text Solution

    |

  10. Chords of the curve 4x^(2) + y^(2)- x + 4y = 0 which substand a right ...

    Text Solution

    |

  11. The co-ordinates of a point P on the line 2x - y + 5 = 0 such that |PA...

    Text Solution

    |

  12. Number of quadrilaterals which can be constructed by joining the verti...

    Text Solution

    |

  13. Different words are formed by arranging the letters of the word SUC CE...

    Text Solution

    |

  14. If 2a+b+3c=1 and a gt 0, b gt 0, c gt 0 , then the greatest value of ...

    Text Solution

    |

  15. The base B C of a A B C is bisected at the point (p ,q) & the equatio...

    Text Solution

    |

  16. Given that N = 2^(n)(2^(n+1) -1) and 2^(n+1) - 1 is a prime number, wh...

    Text Solution

    |

  17. If the sum of digits of the number N = 2000^11 -2011 is S, then

    Text Solution

    |

  18. All the natural numbers, sum of whose digits is 8 are arranged in asce...

    Text Solution

    |

  19. If the lines L1:2x-3y-6=0,L2: x+y-4=0 and L3: x+2 and tanA ,tanB and t...

    Text Solution

    |

  20. The area of a triangle is 3/2 square units. Two of its vertices are th...

    Text Solution

    |