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

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 8 : (Questions Asked in Previous 13 years Exams)|1 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 7 : (Subjective Type Questions)|4 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

Find eq^(ns) of lines passing through the point (2, 3) and inclined at an angle pi/4 to the line 2x+3y =5

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

A straight line through the point (2, 2) intersects the lines sqrt3x + y = 0 and sqrt3 x-y=0 at the points A and B. The equation to the line AB so that the triangle OAB is equilateral is ,

Two lines passing through the point (2, 3) intersect each other at an angle of 60^@ . If the slope of one line is 2, find the equation of the other line.

Find the equation of the straight line through the point P(a,b) parallel to the line x/a+y/b = 1 also find the intercepts made by it on the axes .

Find the equation of a st. line through the point A (3, 4) and is inclined to the x-axis at an angle of (3 pi)/4 . Find also the co-ordinates of two points on it on opposite sides of A at a distance sqrt2 from it .

Find the equation of the st. line through the origin making angle of 60^@ with the st. line x +sqrt3y + 3sqrt3=0 .

Two lines passing through the point (2, 3) intersects each other at an angle of 60^@ . If slope of one line is 2, find equation of the other line.

Find the direction in which a straight line must be drawn through the point (1,2) so that its point of intersection with the line x+y=4 may be at a distance 1/3 sqrt(6) from this point

Find the equation of a straight line passing through the point (4, 5) and equally inclined to the lines 3x = 4y + 7 and 5y = 12x+6 .

ARIHANT MATHS-THE STRAIGHT LINES-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The line parallel to the x-axis and passing through the intersection o...

    Text Solution

    |

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

    Text Solution

    |

  3. If (a,a^(2)) falls inside the angle made by the lines y=(x)/(2), x g...

    Text Solution

    |

  4. The line L1:""y""-""x""=""0 and L2:""2x""+""y""=""0 intersect the line...

    Text Solution

    |

  5. Let P-=(-1,0),Q-=(0,0), "and " R-=(3,3sqrt(3)) " be three points". T...

    Text Solution

    |

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

    Text Solution

    |

  7. The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicul...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. The line L1:""y""-""x""=""0 and L2:""2x""+""y""=""0 intersect the line...

    Text Solution

    |

  11. If the line 2x+y=k passes through the point which divides the line seg...

    Text Solution

    |

  12. A ray of light along x+sqrt(3) y = sqrt(3) gets reflected upon reachin...

    Text Solution

    |

  13. For a gt b gt c gt 0, the distance between (1, 1) and the point of int...

    Text Solution

    |

  14. Let P S be the median of the triangle with vertices P(2,2),Q(6,-1)a...

    Text Solution

    |

  15. Let a, b, c and d be non-zero numbers. If the point of intersection of...

    Text Solution

    |

  16. For a point P in the plane, let d(1)(P) " and " d(2)(P) be the distanc...

    Text Solution

    |

  17. The number of points, having both co-ordinates as integers, that lie i...

    Text Solution

    |

  18. Two sides of a rhombus are along the lines x-y+1=0 and 7x-y-5=0. If it...

    Text Solution

    |