Home
Class 11
MATHS
The distance of the point (3, 5) from th...

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

A

`7/sqrt5`

B

`7/sqrt13`

C

`sqrt5`

D

`sqrt13`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos
  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 Videos

Similar Questions

Explore conceptually related problems

Find the distance of the point (3. 5) from the line 2x + 3y = 14measured parallel to th line x - 2y= 1,

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

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

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

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

Find the distance of the point (1,0,-3) from the plane x-y-z=9 measured parallel to the line (x-2)/2=(y+2)/2=(z-6)/(-6)dot

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

The distance of the point (3,8,2) from the line (x-1)/(4) =(y-3)/(4)=(z-2)/(3) measured parallel to the plane vec r .( 3 hati +2 hatj-2 hatk)=15 is __

The distance of the point (1,0,-3) from plane x-y-z=9 measured parallel to the line (x-2)/(2)=(y+2)/(3)=(z-6)/(-6) is ___

Find the distance of the point (1,-2,3) from the plane x - y +z = 5 measured along a line parallel in x/2 = y/3 = z/-6

PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
  1. If the co-ordinates of a variable point P be (cos theta + sin theta, s...

    Text Solution

    |

  2. Transform the equation x^2 - 3xy + 11x -12y + 36 = 0 to parallel axes ...

    Text Solution

    |

  3. The distance of the point (3, 5) from the line 2x + 3y - 14 = 0 measur...

    Text Solution

    |

  4. The lines x cos alpha + y sin alpha = p1 and x cos beta + y sin beta ...

    Text Solution

    |

  5. If each of the points (x1, 4), (-2,y1) lies on the line joining the po...

    Text Solution

    |

  6. The angle between the lines 2x - y + 3 = 0 and x + 2y + 3 =0

    Text Solution

    |

  7. Equation to the straight line cutting off an intercept 2 from negative...

    Text Solution

    |

  8. The number of lines that are parallel to 2x + 6y -7 = 0 and have an in...

    Text Solution

    |

  9. If the quadrilateral formed by the lines ax + by + c = 0, a'x + b'y + ...

    Text Solution

    |

  10. The co-ordinates of a point on the line y = x where perpendicular dist...

    Text Solution

    |

  11. If the points (1,2) and (3, 4) are on the opposite side of the line 3x...

    Text Solution

    |

  12. If k x^2 + 10 xy + 3 y^2 - 15x - 21y + 18 = 0 represents a pair of str...

    Text Solution

    |

  13. The point of intersection of the straight lines given by the equation ...

    Text Solution

    |

  14. If the equation 12x^2 + 7xy - py^2 - 18x qy + 6 = 0 represent two perp...

    Text Solution

    |

  15. If the angle between the two lines represented by 2x^2 + 5xy + 3y^2 + ...

    Text Solution

    |

  16. The equation of second degree x^2 + 2sqrt2 xy + 2y^2 + 4x + 4 sqrt2 y ...

    Text Solution

    |

  17. The point (4,1) undergoes the following transformation successively (i...

    Text Solution

    |

  18. Mixed term xy is to be removed from the general equation of second deg...

    Text Solution

    |

  19. For points P=(x1,y1)and Q =(x2,y2) of the co-ordinate plane a new dist...

    Text Solution

    |

  20. The orthocentre of the triangle formed by the lines x+y=1,2x+3y=6and 4...

    Text Solution

    |