Home
Class 12
MATHS
The equation of the diagonal through the...

The equation of the diagonal through the origin of the rilateral formed by `x=0, y=0` `x+y=1` and `6 x+y=3` is

A

`3 x-2 y=0`

B

`3 x-y=0`

C

`x-y=0`

D

`3 x-4 y=0`

Text Solution

Verified by Experts

The correct Answer is:
A
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 equation of the diagonal through the origin of the quadrilateral formed by x=0, y=0 , 3 x+y=1 and 4 x+y=7 is

Orthocentre of the triangle formed by the lines x+y=1 and x y=0 is

The orthocentre of the triangle formed by the lines x+3 y=10 and 6 x^(2)+x y-y^(2)=0 is

The area of the triangle formed by the lines y = x, x = 6, and y = 0 is

The equation of the straight line joining the origin to the point of intersection of y-x+7 =0 and y +2x-2=0 is

Equation of diagonals of the square formed by the lines: x=0, y=0, x=1 and y=1 are:

The equation of the line passing through the intersection of the lines x - 3y + 1 = 0 and 2x + 5y - 9 = 0 and at distance sqrt(5) from the origin is

The equation of the line passing through the intersection of the lines x+2 y+3=0 and 3 x+4 y+7=0 and parallel to y-x=8 is

The equation of the plane passing through the intersection of the planes x+2y+3z+4=0 and 4x+3y+2z+1=0 and the origin is

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. A (1, 3) and C(7, 5) are two opposite vertices of a square. The equati...

    Text Solution

    |

  2. One of the equations of the lines passing through the point (3, -2) an...

    Text Solution

    |

  3. The equation of the diagonal through the origin of the rilateral forme...

    Text Solution

    |

  4. The area of the triangle whose sides are along x=0, y=0 and 4 x+5 y=20...

    Text Solution

    |

  5. If a, b, c are in A. P., then st. line ax+by+c=0 will always pass thro...

    Text Solution

    |

  6. The number of lines that are parallel to2 x+6 y-7=0 and have an interc...

    Text Solution

    |

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

    Text Solution

    |

  8. A line through the point A(2,0) which makes an angle of 30^(circ) with...

    Text Solution

    |

  9. The equation of the line which makes an angle 15^(circ) with the posit...

    Text Solution

    |

  10. Distance between the lines 3 x+4 y=9 and 6 x+8 y=15 is

    Text Solution

    |

  11. If (-2,6) is the image of the point (4,2) with respect to the line L=0...

    Text Solution

    |

  12. The reflection of the point (-3,4) in the line x-y=0 is

    Text Solution

    |

  13. The reflection of the point (2,-5) along the line x+y=0 is

    Text Solution

    |

  14. The co-ordinates of the image of the origin O. w.r.t. st. line x+y+1=0...

    Text Solution

    |

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

    Text Solution

    |

  16. Foot of the perpendicular from (-2,-1) on to the line 3 x+2 y-5=0 is

    Text Solution

    |

  17. The equation of base of an equilateral triangle is x+y=2 and vertex is...

    Text Solution

    |

  18. The medians AD and BE of a triangle with vertices A (0, b), B(0, 0) an...

    Text Solution

    |

  19. The equation of the line through (2,3) and parallel to 2 x-3 y+1=0 is

    Text Solution

    |

  20. The equation of the line whose intercepts on x= axis and y -axis are r...

    Text Solution

    |