Home
Class 11
MATHS
The pair of lines a^(2)x^(2)+2h(a+b)xy+b...

The pair of lines `a^(2)x^(2)+2h(a+b)xy+b^(2)y^(2)=0 and ax^(2)+2hxy+by^(2)=0` are

A

perpendicular

B

equally inclined to each other

C

such that each bisects the angle between the other

D

parallel

Text Solution

Verified by Experts

The correct Answer is:
B
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 a_(1)x^(2)+2h_(1)xy+b_(1)y^(2)=0 and a_(2)x^(2)+2h_(2)xy+b_(3)y^(2)=0 have one line in common then show that (a_(1)b_(2)-a_(2)b_(1))^(2)+4(a_(1)h_(2)-a_(2)h_(1))(b_(1)h_(2)-b_(2)h_(1))=0

Show that the following pairs of lines are equally inclined to each other. a^(2)x^(2)+2h(a+b)xy+b^(2)y^(2)=0, ax^(2)+2hxy+by^(2)=0 (a+b ne 0)

If the two pair of lines 2x^(2)+6xy+y^(2)=0 and 4x^(2)+18xy+by^(2)=0 are equally inclined to each other then b=

The pair of lines 2x^(2)+3xy+5y^(2)=0 and 4x^(2)+21xy+25y^(2)=0 are

The figure formed by the pairs of lines 12x^(2)+7xy-12y^(2)=0 and 12x^(2)+7xy-12y^(2)+10x+5y+2=0 is a

Area of quadrilateral formed by two pair of lines a^(2)x^(2)-b^(2)y^(2)-c(ax+by)=0 and a^(2)x^(2)-b^(2)y^(2)+c(ax-by)=0 is

Show that the area of parallelogram formed, by the pairs of lines ax^2+2hxy+by^2+2gx+2fy+c =0 and ax^2 + 2hxy + by^2 = 0 is (|c|)/(2sqrt(h^2-ab)) .

The figure formed by the pairs of lines 2x^(2)+3xy-2y^(2)=0 and 2x^(2)+3xy-2y^(2)-5x+15y-25=0 is a

AAKASH SERIES-PAIR OF STRAIGHT LINES-EXERCISE -II
  1. If one of lines in ax^(2)+2hxy+by^(2)=0 bisects the angle between the...

    Text Solution

    |

  2. If the lines represented by h(x^(2)-y^(2))+txy=0 bisects the angle bet...

    Text Solution

    |

  3. The pair of lines a^(2)x^(2)+2h(a+b)xy+b^(2)y^(2)=0 and ax^(2)+2hxy+by...

    Text Solution

    |

  4. The combined equation of the lines l(1), l(2) is 2x^(2)+6xy+y^(2)=0 a...

    Text Solution

    |

  5. Assertion (A) : 3x^(2)+4xy+y^(2)=0 and 7x^(2)+12xy+y^(2)=0 are equally...

    Text Solution

    |

  6. If the pair of lines ax^(2)+2hxy+by^(2)=0 (h^(2) gt ab) orms an equila...

    Text Solution

    |

  7. The triangle formed by the pair of lines x^(2)+16x-y^(2)=0 and x-2y+13...

    Text Solution

    |

  8. Area of triangle formed by pair of lines (x+2a)^2-3y^2=0 and x=a is

    Text Solution

    |

  9. The triangle formed by the pair of lines x^(2)-4y^(2)=0 and x-a=0 is a...

    Text Solution

    |

  10. The triangle formed by 2x+3y+7=0 and the pair (2x+3y)^(2)-3(3x-2y)^(2)...

    Text Solution

    |

  11. The area of the triangle formed by two rays whose combined equation is...

    Text Solution

    |

  12. The area of triangle formed by x+y+1 = 0 and x^(2)-3xy+2y^(2)=0 is

    Text Solution

    |

  13. If a + b = 2h , then the area of the triangle formed by the lines ax^(...

    Text Solution

    |

  14. Area of triangle formed by pair of lines (x+2a)^2-3y^2=0 and x=a is

    Text Solution

    |

  15. The area of the triangle formed by the straight line x + y = 3 and the...

    Text Solution

    |

  16. The distance from a point (alpha,beta) to a pair of lines passing thro...

    Text Solution

    |

  17. If 2x^2-5xy+2y^2=0 represents two equal sides of an isosceless triangl...

    Text Solution

    |

  18. If the centriod of triangle formed by the lines 2y^(2)+5xy-3x^(2)=0 an...

    Text Solution

    |

  19. If two sides of triangle are given by x^(2)-xy-6y^(2)=0 and the centro...

    Text Solution

    |

  20. Centriod of triangle formed by lines 8x^(2)-14xy+5y^(2)=0, x-2y+3=0 is

    Text Solution

    |