Home
Class 12
MATHS
A straight line L through the point (3, ...

A straight line L through the point (3, -2) is inclined at an angle `60^(@)` to the line `sqrt(3)x+y=1`. If L also intersects the x-axis, then the equation of L is :

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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

One of the equations of the lines passing through the point (3, -2) and inclined at 60^(@) to the line sqrt(3)x+y=1 is :

Find the equation of the lines through the point (3, 2) which make an angle of 45^(@) with the line x - 2y = 3 .

If the line through A-=(4, -5) is inclined at an angle 45^(@) with the positive direction of the x-axis, then the co-ordinates of the two points on opposite sides of A at a distance 3sqrt(2) are :

Equation of line passing through the point (1, 2) and perpendicular to the line y=3x-1 is

Equation of line passing through the point (1,2) and perpendicular to the line y = 3x - 1 is

Find the angle between the lines sqrt3 x+ y =1 and x+ sqrt3 y=1

The equation of the line passing through the point (3,2) and perpendicular to the line y=x is

A st. line through the point (2, 2) intersects the lines sqrt(3)x+y=0 and sqrt(3)x-y=0 at the points A and B. The equation to the line AB so that the triangle OAB is equilateral is :

If the line through A=(4,-5) is inclined at an anlge 45^(@) with the positive of the x axis then the co ordinates of the two points on opposite sides of a at a distance 3sqrt(2) are

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. Let O(0,0), P(3,4), Q(6,0) be the vertices of the triangle O P Q. The ...

    Text Solution

    |

  2. Consider three points P-= (-sin (beta-alpha), -cos beta), Q-= (cos (be...

    Text Solution

    |

  3. A straight line L through the point (3, -2) is inclined at an angle 60...

    Text Solution

    |

  4. The locus of the mid-point of the portion of the line xcos alpha+y sin...

    Text Solution

    |

  5. A line L has intercepts a and b on the coordinate axes, when the axes ...

    Text Solution

    |

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

    Text Solution

    |

  7. The perpendicular bisector of the line segment joining P(1, 4) and Q(k...

    Text Solution

    |

  8. The line L given by (x)/(5)+(y)/(b)=1 passes through the point (13, 32...

    Text Solution

    |

  9. Angles made with the x -axis by two lines drawn through the point (1,2...

    Text Solution

    |

  10. If a, b, c be in A.P, then a x+b y+c=0 represents

    Text Solution

    |

  11. The circumcentre and the centroid of a triangle are (6,2) and (3,3) th...

    Text Solution

    |

  12. If the sum of the distances of a point from two perpendicular lines in...

    Text Solution

    |

  13. Let p, q, r be distinct positive numbers. Three lines p x+q y+r=0, q x...

    Text Solution

    |

  14. Let 0 leq theta leq (pi)/(2) and x=X cos theta+Y sin theta <bx> y=X si...

    Text Solution

    |

  15. The equation of a line passing through the point of intersection of x-...

    Text Solution

    |

  16. The equation of one side of a rectangle is 3 x-4 y-10=0 and the coordi...

    Text Solution

    |

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

    Text Solution

    |

  18. The range of values of theta in the interval (0, pi) such that the poi...

    Text Solution

    |

  19. If the point (a, a) falls between the lines |x+y|=2, then :

    Text Solution

    |

  20. If the point P(a, b) lies on the line 3 x+2 y=13 and the point Q(b, a)...

    Text Solution

    |