Home
Class 12
MATHS
If the line given by ax^(2)+2hxy+by^(2)=...

If the line given by `ax^(2)+2hxy+by^(2)=0` are equally inclined to the co-ordinate axes, then

A

`a+b=2|h|`

B

`a+b=-2h`

C

`a-b=2|h|`

D

`(a-b)^(2)=4h^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
NA
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|58 Videos

  • PAIR OF STRAIGHT LINES

    TARGET PUBLICATION|Exercise EVALUATION TEST|11 Videos

  • PAIR OF STRAIGHT LINES

    TARGET PUBLICATION|Exercise EVALUATION TEST|11 Videos

  • MODEL QUESTION PAPER-II

    TARGET PUBLICATION|Exercise MCQs|49 Videos

  • PLANE

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos

Similar Questions

Explore conceptually related problems

If two lines ax^(2)+2hxy+by^(2)=0 are equally inclined with co-ordinate axes, then

If the lines x^(2)+(2+k)xy-4y^(2)=0 are equally inclined to the coordinate axes,then k=

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

If one of the lines given by kx^(2)+xy-y^(2)=0 bisects the angle between the co-ordinate axes, then k=

If two lines ax^(2)+2hxy+by^(2)=0 make equal angles with a co-ordinate axis, then

The gradient of one of the lines given by ax^(2)+2hxy+by^(2)=0 is twice that of the other, then

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

IF the slope of one of the lines given by ax^(2) +2hxy + by ^(2) =0 is two times the other then

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

TARGET PUBLICATION-PAIR OF STRAIGHT LINES-CRITICAL THINKING
  1. The difference of the tangents of the angles, which the lines (tan^(...

    Text Solution

    |

  2. The equation of the pair of straight lines, each of which makes an ang...

    Text Solution

    |

  3. If the line given by ax^(2)+2hxy+by^(2)=0 are equally inclined to the ...

    Text Solution

    |

  4. One of the lines represented by the equation ax^(2)+bxy+cy^(2)=0 bisec...

    Text Solution

    |

  5. If the equation ax^(2)+2hxy+by^(2)=0 has one line as the bisector of a...

    Text Solution

    |

  6. If the lines represented by the equation 2x^2-3xy+y^2=0 make angles al...

    Text Solution

    |

  7. If the lines represented by the equation ax^(2)-bxy-y^(2)=0 make angle...

    Text Solution

    |

  8. If the acute angle between the lines ax^(2) + 2hxy + by^(2) = 0 is 60^...

    Text Solution

    |

  9. Find the angle between the lines repersented by the equation x^2-2pxy+...

    Text Solution

    |

  10. The angle between the lines represented by the equation (x^(2)+y^(2))s...

    Text Solution

    |

  11. The angle between the lines represented by the equation ax^(2)+xy+by^(...

    Text Solution

    |

  12. If the angle between the lines represented by the equation y^2+kxy-x^2...

    Text Solution

    |

  13. If acute angle between lines ax^(2)+2hxy+by^(2)=0 is congruent to that...

    Text Solution

    |

  14. If the acute angle between the pairs of lines 3x^2-7xy+4y^2=0 and 6x^2...

    Text Solution

    |

  15. The lines a^2x^2+bcy^2=a(b+c)xy will be coincident , if

    Text Solution

    |

  16. If the lines (p-q)x^2+2(p+q)xy+(q-p)y^2=0 are mutually perpendicular ,...

    Text Solution

    |

  17. The two lines represented by 3a x^2+5x y+(a^2-2)y^2=0 are perpendicula...

    Text Solution

    |

  18. The angle between the lines given by the equation alphay^(2)+(1-alpha^...

    Text Solution

    |

  19. If the equation ax^(2)+ay^(2)+2gx+2fy+c=0 represents a pair of lines t...

    Text Solution

    |

  20. If the equation ax^2+by^2+cx+cy=0 represents a pair of straight lines ...

    Text Solution

    |