Home
Class 11
MATHS
The value of k such that the lines 6x^(2...

The value of k such that the lines `6x^(2)+17xy+12y^(2)=0` and `kx^(2)+5xy+3y^(2)=0` may have one line in common is

A

1

B

2

C

`-1`

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

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

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE -II|105 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 pairs of lines 3x^(2)-5xy+py^(2)=0 and 6x^(2)-xy-5y^(2)=0 have one line in common, then P=

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

If the pair of lines 6x^(2)+xy-y^(2)=0 and 3x^(2)-axy-y^(2)=0,a gt 0 have a common line, then a =

The figure formed by the pairs of lines 3x^(2)+10xy+3y^(2)=0 and 3x^(2)+10xy+3y^(2)-4x4y-4=0 is a

If the pair of lines 3x^(2)+14xy+8y^(2)=0 and 2x^(2)+5xy-12y^(2)=0 have a common line then angle between other two lines is

Show that the pair of lines 3x^(2)-5xy+2y^(3)=0 9x^(2)-25xy+4y^(2)=0 are equally inclined to each other.

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

The figure formed by the pairs of lines 6x^(2) + 13xy + 6y^(2) = 0 and 6x^(2) + 13xy +6y^(2)+ 10x + 10y + 4 = 0 is a

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-PRACTICE EXERCISE
  1. If the two pair of lines 2x^(2)+6xy+y^(2)=0 and 4x^(2)+18xy+by^(2)=0 a...

    Text Solution

    |

  2. If 2x^(2)-5xy+2y^(2)=0 represents two equal sides of an isosceles tria...

    Text Solution

    |

  3. The value of k such that the lines 6x^(2)+17xy+12y^(2)=0 and kx^(2)+5x...

    Text Solution

    |

  4. The equation to the pair of lines through the origin and forming an eq...

    Text Solution

    |

  5. The equation of the pair of lines passing through origin and making an...

    Text Solution

    |

  6. The area of the triangle formed by the lines 6x^(2)-13xy+6y^(2)=0 and ...

    Text Solution

    |

  7. The lines x^(2)-4xy+y^(2)=0,x+y=3 form a trangle which is

    Text Solution

    |

  8. The line 3x-4y+5=0 and pair of straight lines 3(3y+4x)^(2)-(3x-4y)^(2...

    Text Solution

    |

  9. The triangle formed by x^(2)-3y^(2)=0 and the line x=a is

    Text Solution

    |

  10. The area of the equilateral triangle formed by the pair of lines passi...

    Text Solution

    |

  11. The point of intersection of the pair of lines represented by 2x^(2)+5...

    Text Solution

    |

  12. If xy+x+y+1=0,x+ay-3=0 are concur rent then a =

    Text Solution

    |

  13. If (1, k) is the point of intersection of the lines given by 2x^(2)+5x...

    Text Solution

    |

  14. If the pair of lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the y...

    Text Solution

    |

  15. If the pair of lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the y...

    Text Solution

    |

  16. The acute angle between the pair of lines2x^(2)+5xy+2y^(2)-17x-19y+35=...

    Text Solution

    |

  17. The acute angle between the pair of lines xy+3x+3y+9=0 is

    Text Solution

    |

  18. If theta is acute angle between the pair of lines x^(2)-3xy+2y^(2)+3x-...

    Text Solution

    |

  19. If lamdax^(2)+6xy+9y^(2)+4x+12y+3=0 represents a pair of straight lien...

    Text Solution

    |

  20. If the equation 2xy + gx + fy + 5 = 0 repre sents a pair of lines, the...

    Text Solution

    |