Home
Class 11
MATHS
The equation of line on which the perpen...

The equation of line on which the perpendicular from the origin make `30^0` angle with the x-axis and which form a triangle of area `(50)/(sqrt(3))` with the axes is a. `sqrt(3)x+y-10=0` b. `sqrt(3)x+y+10=0` c. `x+sqrt(3)y-10=0` d. `x-sqrt(3)y-10=0`

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE ENGLISH|Exercise All Questions|508 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|983 Videos

Similar Questions

Explore conceptually related problems

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

The equation of a straight line on which the perpendicular from the origin of the length 2 units and this perpendicular makes an angle of 240^(@) with the x-axis is (i) x+sqrt(3)y+4=0 (ii) x-sqrt(3)y+4=0 (iii) x-sqrt(3)y-4=0 (iv) x+sqrt(3)y-4=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 120^0 with the x-axis is (a) xsqrt(3)+y+8=0 (b) xsqrt(3)-y=8 (c) xsqrt(3)-y=8 (d) x-sqrt(3)y+8=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 120^0 with the x-axis is (A) xsqrt(3)+y+8=0 (B) xsqrt(3)-y=8 (C) xsqrt(3)-y=8 (D) x-sqrt(3)y+8=0

Find the equation of the straight line which passes through the origin and makes angle 60^0 with the line x+sqrt(3)y+sqrt(3)=0 .

Find the equation of the straight line which passes through the origin and makes angle 60^0 with the line x+sqrt(3)y+sqrt(3)=0 .

The equation of the lines passing through the point (1,0) and at a distance (sqrt(3))/2 from the origin is (a). sqrt(3)+y-sqrt(3) =0 (b). x+sqrt(3)y-sqrt(3)=0 (c). sqrt(3)x-y-sqrt(3)=0 (d). x-sqrt(3)y-sqrt(3)=0

The equation of the lines passing through the point (1,0) and at a distance (sqrt(3))/2 from the origin is (a) sqrt(3)x+y-sqrt(3) =0 (b) x+sqrt(3)y-sqrt(3)=0 (c) sqrt(3)x-y-sqrt(3)=0 (d) x-sqrt(3)y-sqrt(3)=0

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

Find the angle between the lines y-sqrt(3)x-5=0 and sqrt(3)y-x+6=0 .

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. The equation of a straight line passing through the point (2, 3) and ...

    Text Solution

    |

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

    Text Solution

    |

  3. The equation of line on which the perpendicular from the origin make 3...

    Text Solution

    |

  4. In the given figure, P Q R is an equilateral triangle and O S P T is s...

    Text Solution

    |

  5. Line L has intercepts aa n db on the coordinate axes. When the axes ...

    Text Solution

    |

  6. A line intersects the straight lines 5x-y-4=0 and 3x-4y-4=0 at A and B...

    Text Solution

    |

  7. A line is a drawn from P(4,3) to meet the lines L1 and l2 given by 3x...

    Text Solution

    |

  8. A straight line through the point A (3,4) is such that its intercept b...

    Text Solution

    |

  9. Two straight lines u=0a n dv=0 pass through the origin and the angle b...

    Text Solution

    |

  10. A straight line through the point (2,2) intersects the lines sqrt(3)x+...

    Text Solution

    |

  11. Let u-=a x+b y+a b3=0,v-=b x-a y+b a3=0,a ,b in R , be two straight l...

    Text Solution

    |

  12. If the foot of the perpendicular from the origin to a straight line is...

    Text Solution

    |

  13. Two sides of a triangle are parallel to the coordinate axes. If the ...

    Text Solution

    |

  14. The diagonals A C and B D of a rhombus intersect at (5,6). If A=(3,2),...

    Text Solution

    |

  15. A line which makes an acute angle theta with the positive direction of...

    Text Solution

    |

  16. Find the values of non-negative real number h1, h2, h3, k1, k2, k3 suc...

    Text Solution

    |

  17. The sides of a triangle ABC lie on the lines 3x + 4y = 0, 4x +3y =0 a...

    Text Solution

    |

  18. If a and b are two arbitrary constants, then prove that the straight l...

    Text Solution

    |

  19. Statement 1: The incenter of a triangle formed by the lines xcos(pi/...

    Text Solution

    |

  20. If the two sides of rhombus are x+2y+2=0 and 2x+y-3=0, then find the s...

    Text Solution

    |