Home
Class 12
MATHS
Let P-=(-1,0),Q-=(0,0), "and " R-=(3,3sq...

Let `P-=(-1,0),Q-=(0,0), "and " R-=(3,3sqrt(3)) " be three points".`
Then the equation of the bisector of `angle PQR` is

A

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

B

`x+sqrt(3)y=0`

C

`sqrt(3)x+y=0`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise The Straight Lines Exercise 7 : (Subjective Type Questions)|4 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • THEORY OF EQUATIONS

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

Similar Questions

Explore conceptually related problems

Let P = (-1, 0), Q = (0, 0) and R = (3, 3sqrt3 ) be three points. The equation of the bisector of the angle PQR

Let P""=""(-1,""0),""Q""=""(0,""0)""a n d""R""=(3,""3sqrt(3)) be three points. The equation of the bisector of the angle PQR (1) sqrt(3)x+y=0 (2) x+(sqrt(3))/2y=0 (3) (sqrt(3))/2x+y=0 (4) x+sqrt(3)y=0

Consider the points P(p,0,0),Q(0,q,0) and R(0,0,r) where pqr!=0 then the equation of the plane PQR is (A) px+qy+r=1 (B) x/p+y/q+z/r=1 (C) x+y+z+1/p+1/q+1/r=0 (D) none of these

If P(0, 1, 2), Q(4, -2, 1) and R(0, 0, 0) are three points, then anglePRQ is

In a triangle ABC , if the equation of sides AB,BC and CA are 2x- y + 4 = 0 , x - 2y - 1 = 0 and x + 3y - 3 = 0 respectively , The equation of external bisector of angle B is

Let A(1, 2, 3), B(0, 0, 1) and C(-1, 1, 1) are the vertices of triangleABC . Q. The equation of internal angle bisector through A to side BC is

Given that P(3,1),Q(6. 5), and R(x , y) are three points such that the angle P R Q is a right angle and the area of R Q P is 7, find the number of such points Rdot

Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The point R inside the triangle O P Q is such that the triangles O P R ,P Q R ,O Q R are of equal area. The coordinates of R are a. (4/3,3) b. (3,2/3) c. (3,4/3) d. (4/3,2/3)

Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The point R inside the triangle O P Q is such that the triangles O P R ,P Q R ,O Q R are of equal area. The coordinates of R are (4/3,3) (b) (3,2/3) (3,4/3) (d) (4/3,2/3)

Consider a triangle PQR with coordinates of its vertices as P(-8,5), Q(-15, -19), and R (1, -7). The bisector of the interior angle of P has the equation which can be written in the form ax+2y+c=0. The radius of the in circle of triangle PQR is

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |