Home
Class 12
MATHS
The lines y=mx, y+2x=0, y=2x+k and y+mx=...

The lines `y=mx, y+2x=0, y=2x+k` and `y+mx=k` form a rhombus if m is equal to :

A

-1

B

`(1)/(2)`

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|306 Videos
  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

Similar Questions

Explore conceptually related problems

The area of the region bounded by the lines y = mx, x = 1, x = 2 , and x axis is 6 sq, units, then 'm' is

The area of the region bounded by the lines y=mx, x =1, x=2 , and x axis is 6sq. units then 'm' is

If the lines 2x+y-3=0,5k+ky-3=0 and 3x-y-2=0 are concurrent ,find the value of K ?

If the lines x-y-1=0,4 x+3 y=k and 2 x-3 y+1=0 are concurrent then k=

If the line y = mx meets the lines x+2y-1=0 and 2x-y+3=0 at the same point, then m equals :

Area of the parallelogram formed by the lines y=mx, y=mx+1, y=nx and y=nx+1 equals :

If the planes x + 2y + kz = 0 and 2x+y - 2z = 0 are at rt. angles, then the value of k is:

If the straight lines 2x + 3y - 3 = 0 and x + ky + 7 = 0 are perpendicular then the value of k is

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. Orthocentre of triangle whose vertices are (0, 0), (3, 4), (4, 0) is :

    Text Solution

    |

  2. Triangle is formed by the co-ordinates (0, 0), (0, 21) and (21, 0). Fi...

    Text Solution

    |

  3. The lines y=mx, y+2x=0, y=2x+k and y+mx=k form a rhombus if m is equal...

    Text Solution

    |

  4. The lines x+(a-1) y+1=0 and 2 x+a^(2) y-1=0 are perpendicular if

    Text Solution

    |

  5. A line passes through (2,2) and is perpendicular to the line 3x+y=3 ...

    Text Solution

    |

  6. If P=(1,0), Q=(-1,0) and R=(2,0) are three given points, then the locu...

    Text Solution

    |

  7. If P(1,2), Q(4,6), R(5,7) and S(a, b) are the vertices of a parallelog...

    Text Solution

    |

  8. The diagonals of a parallelogram P Q R S are along the lines x+3 y=4 a...

    Text Solution

    |

  9. If the vertices P, Q, R are rational points which of the following poi...

    Text Solution

    |

  10. If the lines x-y-1=0,4 x+3 y=k and 2 x-3 y+1=0 are concurrent then k=

    Text Solution

    |

  11. The centroid of a triangle formed by the points (0, 0), (cos theta, si...

    Text Solution

    |

  12. The orthocentre of the triangle formed by (8,0) , (4,6) with the origi...

    Text Solution

    |

  13. The foot of the perpendicular from (-2,3) to the line 2 x-y-3=0 is

    Text Solution

    |

  14. The locus of the point of the portion of the line x cos alpha-ysin alp...

    Text Solution

    |

  15. The value of lambda for which the lines 3 x+4 y=5, 5 x+4 y=4 and lambd...

    Text Solution

    |

  16. Three vertices of a parallelogram taken in order are (-1,-6),(2,-5) an...

    Text Solution

    |

  17. The angle between the lines 2 x-y+3=0 and x+2 y+3=0 is

    Text Solution

    |

  18. The centroid of the triangle is (2,7) and two of its vertices are (4,8...

    Text Solution

    |

  19. The inclination of the line through (-3,6) and the midpoint of the lin...

    Text Solution

    |

  20. A point moves such that the area of the triangle formed by it with the...

    Text Solution

    |