Home
Class 11
MATHS
A is a point on either of two lines y+sq...

`A` is a point on either of two lines `y+sqrt(3)|x|=2` at a distance of `4/sqrt(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)`

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE PUBLICATION|Exercise All Questions|507 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|986 Videos

Similar Questions

Explore conceptually related problems

The coordinates of the foot of the perpendicular from the point (2,3) on the line -y+3x+4=0 are given by

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

Find the points on the line (x+2)/(3)=(y+1)/(2)=(z-3)/(2) at a distance 3sqrt(2) units from the points (1,2,3).

Find the foot of perpendicular drawn from the point (2, 2) to the line 3x - 4y + 5 = 0

Find the distance between the point (sqrt3,4) and (0,0)

Find the coordinates of a point on y axis which are at a distance of 5sqrt(2) from the point P(3,-2,5)

Find the obtuse angle between the lines x-y+2=0 and (2-sqrt(3))x-y+1=0 .

Find the coordinates of the points on y - axis which are at a distance sqrt(41) unit from the point ( 3 , 2 , -4) .

Find the coordinates of the point on y-axis, which is at a distance of 5sqrt2 from the point (3,2,-5)

Find the perpendicular distance from the origin of the straight line 3x+4y=5sqrt(2) ,

CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. A triangle is formed by the lines x+y=0,x-y=0, and l x+m y=1. If la n ...

    Text Solution

    |

  2. The line x+y=p meets the x- and y-axes at Aa n dB , respectively. A ...

    Text Solution

    |

  3. A is a point on either of two lines y+sqrt(3)|x|=2 at a distance of 4/...

    Text Solution

    |

  4. A pair of perpendicular straight lines is drawn through the origin f...

    Text Solution

    |

  5. If the vertices Pa n dQ of a triangle P Q R are given by (2, 5) and (4...

    Text Solution

    |

  6. Given A=(1,1) and A B is any line through it cutting the x-axis at Bdo...

    Text Solution

    |

  7. The straight lines 4a x+3b y+c=0 passes through which point? , where a...

    Text Solution

    |

  8. The line parallel to the x-axis and passing through the intersection o...

    Text Solution

    |

  9. The lines L1:y-x =0 and L2: 2x+y =0 intersect the line L3 : y+2 =0 at ...

    Text Solution

    |

  10. If the lines ax+y+1=0, x+by+1=0, x+y+c=0, (a, b, c are distinct and no...

    Text Solution

    |

  11. Two sides of a rhombus ABCD are parallel to the lines y=x+2 and y=7x+3...

    Text Solution

    |

  12. Equation(s) of the straight line(s), inclined at 30^(@) to the x-axis ...

    Text Solution

    |

  13. If a pair of perpendicular straight lines drawn through the origin f...

    Text Solution

    |

  14. The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0....

    Text Solution

    |

  15. The image of P(a,b) on the line y=-x is Q and the image of Q on the li...

    Text Solution

    |

  16. Consider a DeltaABC whose sides AB, BC and CA are represented by the s...

    Text Solution

    |

  17. Area of the triangle formed by the line x+y=3 and the angle bisectors ...

    Text Solution

    |

  18. The sides of a triangle have the combined equation x^2-3y^2-2x y+8y-4=...

    Text Solution

    |

  19. The equation of the lines passing through the point (1,0) and at a dis...

    Text Solution

    |

  20. The number of values of k for which the lines (k+1)x+8y=4k and kx+(k+3...

    Text Solution

    |