Home
Class 12
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

`11 sqrt(2)//4`

D

`7sqrt(2)//5`

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|168 Videos

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-1)|10 Videos

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-4)|12 Videos

  • SETS ( APPENDIX - 1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE|70 Videos

  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4 )|4 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

Find the equation of the straight lines passing through the point (-3,2) and making an angle 45^(@) with the straight line 3x-y+4=0

DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1A
  1. A square of side "a" lies above the x-axis and has one vertex at the o...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. A line through (2, 3) makes and angle pi//4 with the positive directi...

    Text Solution

    |

  5. If the straight line through the point P(3,4) makes an angle pi//6 wit...

    Text Solution

    |

  6. The distance between the parallel lines 4x+3y+7=0, 12x+9y+1=0 is

    Text Solution

    |

  7. The distance between the parallel lines 2x-y+3=0, 2x-y-4=0 is

    Text Solution

    |

  8. The line L given by x/5+y/b=1 passes through the point (13,32). The li...

    Text Solution

    |

  9. The area (in square units) of the circle which touches the lines 4x+3y...

    Text Solution

    |

  10. The lines x+2y-3=0, x+2y+7=0, 2x-y-4=0 form three sides of two squares...

    Text Solution

    |

  11. The vetices of a triangle are O(0, 0), B(-3, -1), C(-1, -3). The equat...

    Text Solution

    |

  12. The point on the line x+y+3=0 whose distance from x+2y+2=0 is sqrt(5) ...

    Text Solution

    |

  13. If p1,p2 are the perpendicular distance from the origin to the two per...

    Text Solution

    |

  14. The slope of a straight line passing through A(5, 4) is -5//12. The p...

    Text Solution

    |

  15. A line passing through A(1, -2) has slope 1. The points on the line at...

    Text Solution

    |

  16. A line is drawn through P(3, 4) inclined at an angle 3pi/4 with x-axis...

    Text Solution

    |

  17. A line which makes an acute angle theta with the positive dirction of ...

    Text Solution

    |

  18. The ratio in which the line y = x divides the segment joining (2, 3) a...

    Text Solution

    |

  19. The ratio in which the line 3x-4y+5=0 divides the line segment joining...

    Text Solution

    |

  20. The ratio in which the line joining the points A(-1, -1) and B(2, 1) d...

    Text Solution

    |