Home
Class 11
MATHS
P is a point on either of the two lines ...

P is a point on either of the two lines `y - sqrt(3)|x| = 2 ` at a distance of 5 units from their point of intersection . The coordinates of the foot of the perpendicular from P on the bisector of the angle between them are

A

`(0,(4+5sqrt(3))/(2))` or ,`(0,(4-5sqrt(3))/(2))` depending on which the point P is taken.

B

`(0,(4+5sqrt(3))/(2))`

C

`(0,(4-5sqrt(3))/(2))`

D

`((5)/(2),(5sqrt(3))/(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|130 Videos
  • SETS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

P is a point on either of the two lines y - sqrt3|x|=2 at a distance 5 units from their point of intersection The coordinates of the foot of the perpendicular from P on the bisector of the angle between them are

A is a point on either of two lines y+sqrt(3)|x|=2 at a distance of 4sqrt(3) units from their point of intersection. The coordinates of the foot of perpendicular from A on the bisector of the angle between them are (a) (-2/(sqrt(3)),2) (b) (0,0) (c) (2/(sqrt(3)),2) (d) (0,4)

P_1, P_2 are points on either of the two line y-sqrt(3)|x|=2 at a distance of 5 units from their point intersection. Find the coordinatesof the foot of perpendiculars drawn from P_1, P_2 on the bisector of the angle between the given lines.

Find the coordinates of the foot of the perpendicular drawn from the point (2,3) to the line y=3x+4

The coordinates of the foot of perpendicular drawn from the point P(-2,5,4) on the x-axis are

Find the coordinates of the foot o the perpendicular from the point (-1, 3) to the line 3x-4y-16=0

Find the coordinates of the foot of the perpendicular drawn from the point (1,-2) on the line y=2x+1.

Find the coordinates of the foot of the perpendicular drawn from the point (1,-2) on the line y=2x+1.

Find the coordinates of the foot of perpendicular from the point (-1,3) to the line 3x-4y-16=0 .

Find the co-ordinates of the foot of perpendicular drawn from the point (3,-3) to the line x-2y=4 .

OBJECTIVE RD SHARMA ENGLISH-STRAIGHT LINES-Chapter Test
  1. The equation to a pair of opposite sides of a parallelogram are x^2-5x...

    Text Solution

    |

  2. The distance between the parallel lnes y=2x+4 and 6x-3y-5 is (A) 1 (B)...

    Text Solution

    |

  3. P is a point on either of the two lines y - sqrt(3)|x| = 2 at a dista...

    Text Solution

    |

  4. If one diagonal of a square is along the line x=2y and one of its vert...

    Text Solution

    |

  5. The line which is parallel to x-axis and crosses the curve y=sqrt(x) a...

    Text Solution

    |

  6. P(3,1),Q(6,5) and R(x,y) are three points such that PRQ is a right ang...

    Text Solution

    |

  7. Find the equation of the straight line which passes through the point ...

    Text Solution

    |

  8. What is the equation of the straight line which is perpendicular to y=...

    Text Solution

    |

  9. Find the perpendicular distance between the lines 3x+4y+9=0 and to 6x...

    Text Solution

    |

  10. The equation of the line passing through the point (1,2) and perpendic...

    Text Solution

    |

  11. The straight lines x+y=0, 3x+y-4=0 and x+3y-4=0 form a triangle which ...

    Text Solution

    |

  12. Triangle formed by x^(2)-3y^(2)=0 and x=4 is

    Text Solution

    |

  13. The co-ordinates of the orthocentre of the triangle bounded by the lin...

    Text Solution

    |

  14. the lines (p+2q)x+(p-3q)y=p-q for different values of p&q passes troug...

    Text Solution

    |

  15. Write the distance between the lines 4x+3y-11=0\ a n d\ 8x+6y-15=0.

    Text Solution

    |

  16. If the diagonals of a parallelogram ABCD are along the lines x+5y=7 a...

    Text Solution

    |

  17. The straight lines x+y-4=0, 3x+y-4=0 and x+3y-4=0 form a triangle, whi...

    Text Solution

    |

  18. Write the coordinates of the orthocentre of the triangle formed by ...

    Text Solution

    |

  19. A point equidistant from the line 4x + 3y + 10 = 0, 5x-12y + 26 = 0 an...

    Text Solution

    |

  20. The number of values of a for which the lines 2x+y-1=0 , a x+3y-3=0, a...

    Text Solution

    |