Home
Class 12
MATHS
The distance of the point P(1,-3) from t...

The distance of the point `P(1,-3)` from the line `2 y-3 x=4` is

A

13

B

`(7 sqrt(13))/(13)`

C

`sqrt(13)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|306 Videos

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

Similar Questions

Explore conceptually related problems

The distance of the point (4,3,5) from the y-axis is

Find the distance of the point (3,-5) from the line 3x -4y -26 =0

The distance of the point A(2,3,4) from x-axis is

The distance of the point (1, 2, -4) from the line (x-3)/(2)=(y-3)/(3)=(z+5)/(6) is

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

The distance of the point (-2, 4, -5) from the line (x +3)/(3)= (y - 4)/(5)= (z +8)/(6) is

The distance of the point (1, 2, 1) from the line (x-1)/(2) = (y-2)/(1)=(z-3)/(2) is

The distance of the point (1,2,1) from the line (x-1)/2=(y-2)/1=(z-3)/2 is

The distance of the point (3,8,2) from the line (x-1)/2 = (y-3)/4 = (z-2)/3 measured parallel to the plane 3x+2y-2z +15 = 0 is

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. The two lines a x+b y=c and a^(prime) x+b^(prime) y=c^(') are perpendi...

    Text Solution

    |

  2. The equation of the line passing through (1, 2) and perpendicular to x...

    Text Solution

    |

  3. The distance of the point P(1,-3) from the line 2 y-3 x=4 is

    Text Solution

    |

  4. The coordinates of the foot of the perpendicular from the point (2,3) ...

    Text Solution

    |

  5. The intercept cut off by a line from y-axis is twice than that of from...

    Text Solution

    |

  6. A straight line through P(1,2) is such that the intercept between the...

    Text Solution

    |

  7. The reflection of the point (4, -13) in the line 5x+y+6=0 is :

    Text Solution

    |

  8. A point moves such that its distance from the point (4,0) is half that...

    Text Solution

    |

  9. A line cutting off intercept -3 from the y -axis and the tangent of th...

    Text Solution

    |

  10. Slope of a line which cuts off intercepts of equal lengths on the axes...

    Text Solution

    |

  11. The equation of the line passing through the point (3,2) and perpendic...

    Text Solution

    |

  12. Equation of the line passing through the point (1,2) and perpendicnlar...

    Text Solution

    |

  13. The tangent of angle between the lines whose intercepts on the axes ar...

    Text Solution

    |

  14. If the line (x)/(a)+(y)/(b)=1 passes through the points (2,-3) and (4,...

    Text Solution

    |

  15. The distance of the point of intersection of the lines 2 x-3 y+5=0 and...

    Text Solution

    |

  16. One of the equations of the lines passing through the point (3, -2) an...

    Text Solution

    |

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

    Text Solution

    |

  18. Derive an expression for the distance between two parallel lines y=mx+...

    Text Solution

    |

  19. The co-ordinates of the foot of perpendicular from the point (2, 3) on...

    Text Solution

    |

  20. If the co-ordinates of the middle point of the portion of the line int...

    Text Solution

    |