Home
Class 11
MATHS
The range of 'a' so that a^2x^2+2xy+4y^2...

The range of 'a' so that `a^2x^2+2xy+4y^2=0` represents distinct lines

A

`agt1/2 or alt(-1)/2`

B

`(-1)/2leale1/2`

C

`(-1)/2ltalt1/2`

D

`age1/2 or ale(-1)/2`

Text Solution

Verified by Experts

The correct Answer is:
C
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

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

Does the equation x^(2)+xy+y^(2)=0 represent a pair of lines?

Value of 'K' so that equation 16x^2+24xy+ly^2+kx--12y-21=0 . Represents a pair of parallel lines is

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

a^(2)x^(2)+2xy+9y^(2)=0 represent a pair of distinct lines then 'a' lies in

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

3x-2y+6=0,6x-4y+8=0 represents……….lines.

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

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. The combined equation to a pair of staright lines passing through the ...

    Text Solution

    |

  2. The range of 'a' so that a^2x^2+2xy+4y^2=0 represents distinct lines

    Text Solution

    |

  3. The locus represented by the equation (x-y+c)^2+(x+y-c)^2=0 is

    Text Solution

    |

  4. The equation of the pair of lines passing through the origin whose sum...

    Text Solution

    |

  5. The difference of the slopes of the lines represented by x^2(tan^2thet...

    Text Solution

    |

  6. If the pair of lines given by (x^2+y^2)sin^2alpha=(xcosalpha-ysinalpha...

    Text Solution

    |

  7. Through a point A on the x-axis, a staight line is drawn parallel to t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |