Home
Class 11
MATHS
The distance of the line 3x-y=0 from the...

The distance of the line `3x-y=0` from the point (4,1) measured along a line making an angle `135^(@)` wih the x-axis is

A

`0`

B

`13sqrt(2)//2`

C

`11sqrt(2)//4`

D

`7sqrt(2)//5`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas)(Straight Objective Type Question)|30 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas) (More than one correct answer Type Question)|1 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE -II|92 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

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

The distance of the point (2,3) from the line 2x-3y+9=0 measured along a line x-y+1=0 is

Slopes of the lines making an angle 45^(@) with the line x-2y=3 are

The distance of the point (3,5) from the line 2x+3y-14=0 measured parllel to the line x-2y=1 is

The distance of the point (1, -5, 9) from the plane x - y + z=5 measured along a straight line x = y= z is

AAKASH SERIES-STRAIGHT LINES-PRACTICE EXERCISE
  1. The line segment joinign A(3,0),B(5,2) is rotated about a point A in a...

    Text Solution

    |

  2. The line AB whose equation is x-y=2 cuts the x-axis at A and B is (4,2...

    Text Solution

    |

  3. The distance of the line 3x-y=0 from the point (4,1) measured along a ...

    Text Solution

    |

  4. The distance of the line x+y-8=0 from (4,1) measured along the directi...

    Text Solution

    |

  5. If the lines x+y+mu=0 and lamdax-5y-5=0 are identical then lamda+mu=

    Text Solution

    |

  6. If the lines 2x+2y+3=0 and x+y+1=0 are parallel then the distance betw...

    Text Solution

    |

  7. The ratio in which the line passing through the points (-1,2),(2,-3) d...

    Text Solution

    |

  8. With respect to the line 3x-4y=8, then points (2,3),(-4,5) are

    Text Solution

    |

  9. The equation of the straight line |r to 5x-2y=7 and passing through po...

    Text Solution

    |

  10. If the lines 4x+3y-1=0, x-y+5=0 and kx+5y-3=0 are concurrent, then k =

    Text Solution

    |

  11. The condition that the lines ax+hy+g=0, hx+by+f=0, gx+fy+c=0 to be con...

    Text Solution

    |

  12. If a+b+c=0 the straight line 2ax+3by+4c=0 passes through the fixed poi...

    Text Solution

    |

  13. The lines (p+2q)x+(p-3q)y=p-q for different values of p and q passes t...

    Text Solution

    |

  14. If a,b,c are in Hp. (a,b,c!=0 point of concurrence of family of lines ...

    Text Solution

    |

  15. If the distance from the origin to the line ax+by+5=0 is5/(sqrt(10)), ...

    Text Solution

    |

  16. P and Q are two points on the line x-y+1=0, If OP=OQ=6 then length of...

    Text Solution

    |

  17. The equation of the base of ann equilateral triangle is 3x-4y+15=0 and...

    Text Solution

    |

  18. In the isosceles triangle OAB, O is the origin, OA=OB=6. If the equati...

    Text Solution

    |

  19. If the straight line 3x+4y=8 is equidistant from (2,3) and (-4,a) then...

    Text Solution

    |

  20. If the point A is symmetric to the point B(4,-1) with respect to the b...

    Text Solution

    |