Home
Class 11
MATHS
The equation of lines on which the perpe...

The equation of lines on which the perpendiculars from the origin make `30^0` angle with the x-axis and which form a triangle of area `(50)/(sqrt(3))` with the axes are `sqrt(3)x+y-10=0` `sqrt(3)x+y+10=0` `x+sqrt(3)y-10=0` (d) `x-sqrt(3)y-10=0`

A

`x+sqrt3 ypm 10=0`

B

`sqrt3x + ypm 10=0`

C

`xpm sqrt3y -10 =0`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|99 Videos

  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos

Similar Questions

Explore conceptually related problems

The equation of lines on which the perpendiculars from the origin make 30^(@) angle with the x -axis and which form a triangle of area (50)/(sqrt(3)) with the axes are sqrt(3)x+y-10=0sqrt(3)x+y+10=0x+sqrt(3)y-10=0 (d) x-sqrt(3)y-10=0

The equation of the line on which the perpendicular from the origin makes an angle of 30^(@) with x -axis and which forms a triangle of area (50)/(sqrt(3)) with the axes is

The equation of the lines on which the perpendicular from the origin make 30^(@) angle with X -axis and which form a triangle of area (50)/(sqrt(3)) with the axes,are (A) x+sqrt(3)y+-10=0 (B) sqrt(3)x+y+-10=0 (B) x+-sqrt(3)y-10=0 (D) None of these

Find the equation of a straight line on which the perpendicular fram the origin makes an angle of 30^(0) with x-axis and which forms a triangle of area 50sqrt(3) with the axes.

sqrt(2)x+sqrt(3)y=0sqrt(3)x-sqrt(8)y=0

The equation of a straight line on which the length of perpendicular from the origin is four units and the line makes an angle of 120^(@) with the x -axis is x sqrt(3)+y+8=0x sqrt(3)-y=8x sqrt(3)-y=8( d) x-sqrt(3)y+8=0

sqrt(2)x+sqrt(3)y=0 sqrt(3)x+sqrt(8)y=0

sqrt(2)x + sqrt(3)y=0 sqrt(5)x - sqrt(2)y=0

Prove that the lines sqrt(3)x+y=0,sqrt(3)y+x=0,sqrt(3)x+y=1 and sqrt(3)y+x=1 form a rhombus.

{:(sqrt(5)x - sqrt(7)y = 0),(sqrt(7)x - sqrt(3)y = 0):}

TARGET PUBLICATION-STRAIGHT LINE -CRITICAL THINKING
  1. A straight line L is perpendicular to the line 5x-y=1. The area of the...

    Text Solution

    |

  2. If we reduce 3x+3y+7=0 to the form xcosalpha+ysinalpha=p , then the va...

    Text Solution

    |

  3. The equation of lines on which the perpendiculars from the origin make...

    Text Solution

    |

  4. A line through A(-5,-4) meets the lines x+3y+2=0,2x+y+4=0a n dx-y-5=0 ...

    Text Solution

    |

  5. Angle made with the x-axis by a straight line drawn through (1, 2) so ...

    Text Solution

    |

  6. distance of the lines 2x-3y-4=0 from the point (1, 1) measured paralel...

    Text Solution

    |

  7. Consider the equation y - y(1) = m(x - x(1)). If m and different lines...

    Text Solution

    |

  8. If the lines 2x+3ay-1=0 and 3x+4y+1=0 are matually perpendicular, then...

    Text Solution

    |

  9. The equation to the straight line passing through the point (a "cos"^(...

    Text Solution

    |

  10. The equation of the line parallel to the line 2x- 3y =1 and passing th...

    Text Solution

    |

  11. A line AB makes zero intercepts on X-axis and Y-axis and it is perpend...

    Text Solution

    |

  12. The equations of the perpendicular bisectors of the sides A Ba n dA C ...

    Text Solution

    |

  13. The number of lines that are parallel to 2x + 6y -7= 0 and have an int...

    Text Solution

    |

  14. The angle between the lines xcos alpha1+ysin alpha1=p1 and xcos alpha...

    Text Solution

    |

  15. If the co-ordinates of the vertices A,B,C of the triangle ABC are (-4,...

    Text Solution

    |

  16. If the lines y=(2+sqrt3) x+4 and y= kx+6 are inclined at an angle 60^(...

    Text Solution

    |

  17. If the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the lin...

    Text Solution

    |

  18. Two equal sides of an isosceles triangle are given by 7x-y+3=0 and x+y...

    Text Solution

    |

  19. If vertices of a parallelogram are respectively (0,0), (1,0) ,(2,2) an...

    Text Solution

    |

  20. The point of intersection of the lines x/ay/b =1 and x/b +y/a =1 lines...

    Text Solution

    |