Home
Class 12
MATHS
Find the condition that the one of the l...

Find the condition that the one of the lines given by `ax^2+2hxy+by^2=0`
may be perpendicular to one of the lines given by `a'x^2+2h'xy+b'y^2=0`

Promotional Banner

Topper's Solved these Questions

  • Pair of Straight Lines and Transformation of Axes

    A DAS GUPTA|Exercise EXERCISE|22 Videos

  • Objective Tests

    A DAS GUPTA|Exercise Exercise|36 Videos

  • Parabola

    A DAS GUPTA|Exercise EXERCISE|51 Videos

Similar Questions

Explore conceptually related problems

Find the condition that one of the lines given by ax^2+2hxy+by^2=0 may coincide with one of the lines given by a' x^2 +2h'xy+b'y^2=0

If one of the lines given by ax^(2)+2hxy+by^(2)=0 is 4x-5y=0 then

If line lx+my+n=0 is perpendicular to one of the lies ax^(2)+2hxy+by^(2)=0 then

If one of the lines given by kx^(2)-5xy-3y^(2)=0 is perpendicular to the line x-2y+3=0 , then k=

If the line 3x+y=0 is perpendicular to one of the lines represented by ax^(2)+2hxy+by^(2)=0 , then

Find the condition that the slope of one of the lines represented by ax^2+2hxy+by^2=0 should be n times the slope of the other .

If the lines given by ax^(2)+2hxy+by^(2)=0 are equally inclined to the lines given by ax^(2)+2hxy+by^(2)+lambda(x^(2)+y^(2))=0 , then

Show that the pair of lines given by a^2x^2+2h(a+b)xy+b^2y^2=0 is equally inclined to the pair given by ax^2+2hxy+by=0 .

Find the values of h,if lines given by 3x^(2)+2hxy+3y^(2)=0 are real?

If the slopes of the lines given by ax^(2)+2hxy+by^(2)=0 are in the ratio 3:1 , then h^(2)=

A DAS GUPTA-Pair of Straight Lines and Transformation of Axes-EXERCISE
  1. Prove that the bisectors of the between the lines ax^2+acxy+cy^2=0 and...

    Text Solution

    |

  2. If the pairs of lines ax^2+2hxy+by^2=0 and a'x^2+2h'xy+b'y^2=0 have on...

    Text Solution

    |

  3. Find the condition that the one of the lines given by ax^2+2hxy+by^2=0...

    Text Solution

    |

  4. Show that the area of the triangle formed by the lines ax^2+2hxy+by^2=...

    Text Solution

    |

  5. A pair of perpendicular straight lines is drawn through the origin ...

    Text Solution

    |

  6. Show that the centroid (x',y') of the triangle with sides ax^2+2hxy+by...

    Text Solution

    |

  7. If the lines ax^2+2hxy+by^2=0 be two sides of a parallelogram and the...

    Text Solution

    |

  8. The straight lines represented by (y-m x)^2=a^2(1+m^2) and (y-n x)^2=a...

    Text Solution

    |

  9. Find the combined equation of the straight lines passing through the p...

    Text Solution

    |

  10. If the equation ax^2 + 2hxy + by^2 + 2gx + 2fy + c = 0 resents a pair ...

    Text Solution

    |

  11. If the pair of straight lines a x^2+2h x y+b y^2=0 is rotated about th...

    Text Solution

    |

  12. The new equation of the curve 4(x-2y+1)^2+9(2x+y+2)^2 =25, if the lin...

    Text Solution

    |

  13. The acute angle between the lines given by x^(2)+2(cosectheta)xy+y^(2)...

    Text Solution

    |

  14. The difference of the slopes of the lines given by the equation x^2(se...

    Text Solution

    |

  15. If the pair of straight lines x^2 - 2pxy - y^2 = 0 and x^2 - 2qxy -y^2...

    Text Solution

    |

  16. The equation 12x^(2)+7xy-12y^(2)-18x+y+6=0 represents

    Text Solution

    |

  17. The number of values of lambda for which the bisectors of the angle b...

    Text Solution

    |

  18. If one of the lines of ax^(2)+2hxy+by^(2)=0 bisects the angle between ...

    Text Solution

    |

  19. The equation (x+y+1)^2+k(x^2+y^2+1)=0 represents two straight lines th...

    Text Solution

    |

  20. The equation 4x^(2)-24xy+11y^(2)=0 represents

    Text Solution

    |