Home
Class 11
MATHS
The distance of the point P(1,-3) from t...

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

A

`13`

B

`(7)/(13)sqrt(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

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (B. Fill in the blanks)|10 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (C . True/False questions)|5 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Exercise 10(l)|16 Videos
  • STATISTICS

    MODERN PUBLICATION|Exercise Chapter Test|7 Videos
  • TRIGONOMETRY

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

Similar Questions

Explore conceptually related problems

The distance of the point (-2,3) from the line x-y=5 is

The distance of the point (2, 3) from the line 4x-3y+26=0 is same as its distance from the line 3x-4y+p=0 . The value of p can be

The distance of the point (-3,4) from the line 3x+4y-5=0 is (2)/(5) .

The distance of the point (1, 3) from the line 2x+3y=6 , measured parallel to the line 4x+y=4 , is

Find the distance of the point (2, 3) from the line y=4.

The distance of the point (2,3) from the line 3x+2y=17, measured parallel to the x-y=4 is

MODERN PUBLICATION-STRAIGHT LINES -OBJECTIVE TYPE QUESTIONS (A. MULTIPLE CHOICE UESTIONS )
  1. The two linesax+by=cand a'x+b'y=c' are perpendicular if

    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 2y-3x=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 from Y-axis is twice that from X-axis by the lin...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. A point moves such teat 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 at ang...

    Text Solution

    |

  10. Find the tangent of the angel between the lines whose intercepts n the...

    Text Solution

    |

  11. If the line x/a+y/b=1 passes through the points a (2,- 3) and (4, - 5)...

    Text Solution

    |

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

    Text Solution

    |

  13. Show that the equations of eth straight lines passing through the poin...

    Text Solution

    |

  14. Consider the following statements : 1. The distance between the line...

    Text Solution

    |

  15. If the coordinates of the middle point of the portion of a line interc...

    Text Solution

    |

  16. Equation of the line passing through (1,2) and parallel to the line y=...

    Text Solution

    |

  17. Find the equations of the diagonals of the square formed by the lines ...

    Text Solution

    |

  18. For specifying a straight line, how many geomatrical parameters should...

    Text Solution

    |

  19. Slope of the line joining the points (3,-2) and (7,-2) is :

    Text Solution

    |

  20. Equation of line passing through the point (1,2) and perpendicular to ...

    Text Solution

    |