Home
Class 11
MATHS
If the pair of lines ax^(2)+2hyx+by^(2)+...

If the pair of lines `ax^(2)+2hyx+by^(2)+2gx+2fy+c=0` intersect on the x-axis, then `2fgh`

A

`af^(2)+ch^(2)`

B

`bg^(2)+ch^(2)`

C

`af^(2)+bg^(2)`

D

`af^(2)+g^(2)`

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 pair of lines ax^(2)+2hyx+by^(2)+2gx+2fy+c=0 intersect on the x-axis, then ac=

If the pair of lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the y-axis, then 2fgh=

If the pair of lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the y-axis, then bc=

If the pair of line ax^2+2hxy+by^2+2gx+2fy+c=0 intersect on the y-axis, then

IF the pair of lines represented by ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the y-axis, then show that 2fgh-bg^(2)-ch^(2)=0

If the straight lines given by ax^(2) + 2hxy + by^(2) + 2gx + 2fy + c = 0 intersects on x -axis then show that 2fgh-af^(2)-ch^(2)=0

Show that the length of intercept cut by pair of lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 on (i) x-axis is (2 sqrt(g^(2)-ac))/(|a|) and (ii) y-axis is (2 sqrt(f^(2)-bc))/(|b|)

If the eqaution ax^(2)+2hxy +by^(2) +2g x +2fy+c=0 represents a pair of straigtht lines, then the square of the distance of their point of intersection from the origin is

AAKASH SERIES-PAIR OF STRAIGHT LINES-EXERCISE -II
  1. The equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of strai...

    Text Solution

    |

  2. If the pair of lines ax^(2)+2hyx+by^(2)+2gx+2fy+c=0 intersect on the x...

    Text Solution

    |

  3. If the pair of lines ax^(2)+2hyx+by^(2)+2gx+2fy+c=0 intersect on the x...

    Text Solution

    |

  4. p(1),p(2),p(3) be the product of perpendicular from (0,0) to xy+x+y+1=...

    Text Solution

    |

  5. Distance between the parallel line (x+2y)^2+13sqrt5(x+2y)+180=0 is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |