Home
Class 11
MATHS
The equation ax^(2)+2hyx+by^(2)+2gx+2ry+...

The equation `ax^(2)+2hyx+by^(2)+2gx+2ry+c=0` represents a pair of parallel lines `if (a)/(h)=(h)/(b)=`

A

`(g)/(f)`

B

`(f)/(g)`

C

`fg`

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|85 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Homogeneous pair of lines) (Straight Objective Type Questions)|64 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE -I|50 Videos

  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|62 Videos

  • PERIODICITY AND EXTEME VALUES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE) LEVEL-I(MAIN) Extreme values ( Single answer type questions )|23 Videos

Similar Questions

Explore conceptually related problems

If the equation 9x^(2)+24xy+by^(2)-12x+2fy-12=0 represents a pair of parallel lines, the f=

The equation ax^(2)-24xy+16y^(2)+2gx+16y+c=0 represents a pair of parallel straight lines. Match the list-I to list-II.

If ax^2+2hxy+by^2+2gx+2fy+c=0 represents a pair of parallel lines then sqrt([q^2-ac/f^2-bc])=

If ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of parallel lines then sqrt((g^(2)-ac)/(f^(2)-bc))=

Let the equation ax^(2)+2hxy+2gx+2fy+c=0 represent a pair of parallel lines. Prove that the equation of the line midway between the two parallel lines is hx+by+f=0

The equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of straight lines. Match the following conditions from List-I to List-II:

AAKASH SERIES-PAIR OF STRAIGHT LINES-EXERCISE -II
  1. Distance between the parallel line (x+2y)^2+13sqrt5(x+2y)+180=0 is

    Text Solution

    |

  2. Distance between the parallel lines 16x^(2)+24xy+ ly^(2)+kx-12y-21=0 r...

    Text Solution

    |

  3. The equation ax^(2)+2hyx+by^(2)+2gx+2ry+c=0 represents a pair of paral...

    Text Solution

    |

  4. If ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of parallel lines...

    Text Solution

    |

  5. The equation ax^(2)-24xy+16y^(2)+2gx+16y+c=0 represents a pair of para...

    Text Solution

    |

  6. Let P(1),p(2),p(3) be the perpendicular distance between pair of paral...

    Text Solution

    |

  7. The figure formed by the pairs of lines 2x^(2)+3xy-2y^(2)=0 and 2x^(2)...

    Text Solution

    |

  8. The figure formed by the pairs of lines 3x^(2)+10xy+3y^(2)=0 and 3x^(2...

    Text Solution

    |

  9. If fg = ch, the lines represented by hxy+ gx+ fy + c = 0 form a quadri...

    Text Solution

    |

  10. The lines (y-mx)^(2)=a^(2)(1+m^(2)) and (y-nx)^(2)=a^(2)(1+n^(2)) form...

    Text Solution

    |

  11. Quadrilateral formed by xy + x + y + 1=0 and xy + 3x + 3y + 9 =0 is qu...

    Text Solution

    |

  12. The figure formed by the two pairs of lines x^(2)-3x + 2 = 0, y^(2) + ...

    Text Solution

    |

  13. The figure formed by the pairs of lines x^(2)-2=0 and 9x^(2)-24xy+16y^...

    Text Solution

    |

  14. The sides of a parallelogram are given by 2x^(2)-5xy+2y^(2)=0 and 2x^(...

    Text Solution

    |

  15. The equation of the diagonal passing through the origin of the paralle...

    Text Solution

    |

  16. If two of the sides of a parallelogram are represented by ax^2+2hxy+by...

    Text Solution

    |

  17. The equation to a pair of oppite sides of parallelogram are x^2-sx+6=0...

    Text Solution

    |

  18. The combined equation of the diagonals of the square formed by the pai...

    Text Solution

    |

  19. If the pair of lines 6x^(2)-5xy-6y^(2)=0, 6x^(2)-5xy-6y^(2)+x+5y-1=0 f...

    Text Solution

    |

  20. In the above problem, the length of its side is

    Text Solution

    |