Home
Class 11
MATHS
Find the distance of the line 4x y = 0f...

Find the distance of the line `4x y = 0`from the point P(4, 1) measured along the line making an angle of `135o`with the positive xaxis.

Text Solution

Verified by Experts

The correct Answer is:
`3sqrt(2)` units
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Chapter test|12 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Exercise|10 Videos
  • STATISTICS

    MODERN PUBLICATION|Exercise Chapter Test|7 Videos
  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Chapter Test (3)|12 Videos

Similar Questions

Explore conceptually related problems

Find the distance of a line 4x+3y+13=0 from a point (4,3)

distance of the lines 2x-3y-4=0 from the point (1,1) measured paralel to the line x+y=1 is

Find the distance of the line 4x+7y+5=0 from the point along the line 2x-y=0

The distance of the line 2x-3y=4 from the point (1,1) in the direction of the line x+y=1 is

Find the distance of point (2,3) from the line 2x-3y+9=0 measured along a line making an angle of 4^(0) with the x -axis.

The distance of the line x + y - 8 = 0 from (4,1) measured along the direction whose slope is -2 , is

Find the distance of the point (4,1) from the line 3x-4y+12=0

MODERN PUBLICATION-STRAIGHT LINES -Revision exercise
  1. The extremities of the base of an isosceles triangle have coordinates ...

    Text Solution

    |

  2. A line is such that its segment between the lines 5x -y+4=0 and 3x +4y...

    Text Solution

    |

  3. Find the distance of the line 4x y = 0from the point P(4, 1) measure...

    Text Solution

    |

  4. Show that the plane a x+b y+c z+d=0 divides the line joining the point...

    Text Solution

    |

  5. Prove that (-1,4) is the orthocentre of the triangle formed by the lin...

    Text Solution

    |

  6. The equation of the perpendicular bisector of the side AB of a triangl...

    Text Solution

    |

  7. The opposite angular points of a square are (3,4) a) and (1,-1). Then ...

    Text Solution

    |

  8. Using the concept of slope, prove that medians of an equilateral tr...

    Text Solution

    |

  9. Show that the perpendicular drawn from the point (4,1) on the line seg...

    Text Solution

    |

  10. A rectangle has two opposite vertices at the points (1,2)a n d(5,5)dot...

    Text Solution

    |

  11. Find the coordinates of the incentre and centroid of the triangle whos...

    Text Solution

    |

  12. The vertices of a triangle are A(x1, x1tantheta1),B(x2, x2tantheta2)a ...

    Text Solution

    |

  13. The points (1, 3) and (5, 1) are two opposite vert of a rectangle. Th...

    Text Solution

    |

  14. One side of a rectangle lies along the line 4x+7y+5=0. Two of its vert...

    Text Solution

    |

  15. Two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0 . If ...

    Text Solution

    |

  16. One side of a square is inclined to the x-axis at an angle alpha and o...

    Text Solution

    |

  17. On the portion of the line x+3y-3=0 which is intercepted between the c...

    Text Solution

    |

  18. Find the direction in which a straight line must be drawn through the...

    Text Solution

    |

  19. The hypotenuse of a right angled isosceles triangle has its ends at th...

    Text Solution

    |

  20. A ray of light passing through the point (1,2) reflects on the x-a xi ...

    Text Solution

    |