Home
Class 11
MATHS
The equation a(x^4+y^4)-4bxy(x^2-y^2)+6...

The equation `a(x^4+y^4)-4bxy(x^2-y^2)+6cx^2y^2=0` represents two pairs of lines at right angles. The two pairs will coincide if

A

`b^2=a+3ac`

B

`a^2=b^2-3ac`

C

`a^2+b^2=3ac`

D

`2b^2=3c+1`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-1 Homogeneous pair of line) (LEVEL-I Straight Objective Type Questions)|55 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXAMPLE|7 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|85 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

Does x^(2)+y^(2)=0 represent a pair of straight lines

If x^(2)+xy-2y^(2)+4x-y+k=0 represents a pair of straight lines, find k.

If x^(2)- 10xy + 4y^(2) + 6x + 2y + k = 0 represents a pair of straight lines then, k=

Prove that the equation 2x^(2)+xy-6y^(2)+7y-2=0 represents a pair of straight lines.

The equation Kx^(2)+4xy+5y^(2)=0 represents two lines inclined at an angle pi if K =

If the equation lambda x^(2)-5xy+6y^(2)+x-3y=0 represents a pair of straight lines then their point of intersection is

AAKASH SERIES-PAIR OF STRAIGHT LINES-LECTURE SHEET (EXERCISE-I Homogeneous pair of lines) (Straight Objective Type Questions)
  1. Through a point A on the x-axis, a staight line is drawn parallel to t...

    Text Solution

    |

  2. the number of values of a for which the pair of lines represented by ...

    Text Solution

    |

  3. The equation a(x^4+y^4)-4bxy(x^2-y^2)+6cx^2y^2=0 represents two pairs...

    Text Solution

    |

  4. If one the lines in the pair of stright lines given by 4x^2+6xy+ky^2=0...

    Text Solution

    |

  5. The equation of the pair of lines through (1,-1) and perpendicular to ...

    Text Solution

    |

  6. The condition that one of the straight lines given by the equation ax^...

    Text Solution

    |

  7. If the pair of lines x^2+2xy+ay^2=0 and ax^2+2xy+y^2=0 have exactly on...

    Text Solution

    |

  8. The equations x-y=4 and x^2+4xy+y^2=0 represent the sides of

    Text Solution

    |

  9. The triangle formed by the pair of line 3x^2+48xy+23y^2=0 and the line...

    Text Solution

    |

  10. Equation of pair of lines passing through origin and making an angle T...

    Text Solution

    |

  11. If 2x^(2)-3xy+y^(2)=0 represents two sides of a triangle and lx + my ...

    Text Solution

    |

  12. If one angular bisector of a(x+1)^(2)+2h(x+1)(y-3)+b(y-3)^(2)=0 is 2x-...

    Text Solution

    |

  13. If the pairs of lines 3x^2-2pxy-3y^2=0 and 5x^2-2qxy-5y^2=0 are such t...

    Text Solution

    |

  14. The lines 36x^(2)-33xy-20y^(2)=0 are equally inclined to the line

    Text Solution

    |

  15. The slope of angular bisector of line (ax+by)^2=c(bx-ay)^2,(cgto) are

    Text Solution

    |

  16. If two lines represented by x^4+x^3y+cx^2y^2-xy^3+y^4=0 bisect the ang...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. If the area of the triangle formed by the lines 3x^2-2xy-8y^2=0 and th...

    Text Solution

    |