Home
Class 12
MATHS
Two lines are given by (x-2y)^2 + k (x-2...

Two lines are given by `(x-2y)^2 + k (x-2y) = 0` . The value of k, so that the distance between them is 3, is :

A

`+-3`

B

`+-5sqrt(5)`

C

0

D

`+-3sqrt(5)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|19 Videos

  • MATRICES

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|26 Videos

  • PLANE IN SPACE

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP- CHAPTERS 6,7,22|1 Videos

Similar Questions

Explore conceptually related problems

If one of the lines is given by kx^(2)-5xy-6y^(2)=0 si 4x+3y=0 then value of k is

If the lines given by 3x+2ky =2 and 2x+5y =1 are parallel, then the value of k is

The distance between the lines given by (x-2y)^(2)+k(x-2y)=0 is 3, then k=

If the lines given by 3x+2ky=2 and 2x+5y+1=0 are parallel,then the value of k is

.If the lines given by 2x+3ky=2 and 5x+2y+1=0 are parallel,then the value of k is

Given two straight lines x-y-7=0 and x-y+3=0. Equation of a line which divides the distance between them in the ratio 3:2 (internally) can be:

If the lines given by 3x+ 2ky =2 and 2x+ 5y+1= 0 are parallel, then the value of k is

If 2x + y = 0 is one of the lines represented by 3x^(2) + kxy + 2y^(2) = 0 . Then the value of k is

The value of k such that the line 3x+4y+5-k(x+y+3)=0 is parallel to y-axis is

If 2x+y=0 is one of the lines given by 3x^(2)+kxy+2y^(2)=0 , then k=

MARVEL PUBLICATION-PAIR OF STRAIGHT LINES-TEST YOUR GRASP
  1. Two lines are given by (x-2y)^2 + k (x-2y) = 0 . The value of k, so th...

    Text Solution

    |

  2. Joint equation of the X-axis and the bisector of the angle in the firs...

    Text Solution

    |

  3. If m is the slope of one fo the two lines jointly given by the equatio...

    Text Solution

    |

  4. If the two lines (3x-y)^(2)=k(x^(2)+y^(2)) are mutualy perpendiculart ...

    Text Solution

    |

  5. If kx+3y=0 is one of the two lines 5x^(2)+3xy-y^(2)=0 then k^(2)-9k=

    Text Solution

    |

  6. If one of the two lines 3x^(2)-kxy-y^(2)=0 bisects an angle between th...

    Text Solution

    |

  7. If the two lines kx^(2)+5xy+9y^(2)=0 are equally inclined with the cor...

    Text Solution

    |

  8. Combined equation of the two lines passing through the origin, forming...

    Text Solution

    |

  9. If the lines 3x^(2)-kxy-3y^(2)=0 and x+2y=8 form and isosceles triangl...

    Text Solution

    |

  10. Length of each leg of an isosceles right angled triangle, formed by th...

    Text Solution

    |

  11. If the equation kxy+10x+6y+4=0 represents a pair of lines then : k=

    Text Solution

    |

  12. If the angle between the lines ax^(2)+xy+by^(2)=0 is 45^(@), then

    Text Solution

    |

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

    Text Solution

    |

  14. If 3h^(2)=4ab, then the ratio of the slopes of the lines ax^(2)+2hxy+b...

    Text Solution

    |

  15. Lines represented by the equation 5x^(2)-2xy+2y^(2)=0 are

    Text Solution

    |

  16. If one of the lines kx^(2)+xy-y^(2)=0 bisects an angle between the co-...

    Text Solution

    |

  17. Measure of angle between the lines sqrt(2)(x^(2)+y^(2))=4xy is

    Text Solution

    |

  18. If the angle between the lines 3x^(2)-4y^(2)=0 is tan^(-1)k, then k=

    Text Solution

    |

  19. Joint equation of two lines through the origin and parallel to the pai...

    Text Solution

    |

  20. If the equation x^(2)+2hxy+2fy+c=0 represents a pair of lines, then

    Text Solution

    |