Home
Class 12
MATHS
The distance of the point (1,-2,3) from ...

The distance of the point `(1,-2,3)` from the plane `x-y+z-5=0`, measured parallel to the line `x/2=y/3=(z-1)/-6` is equal to

A

1 unit

B

2 unit

C

3 units

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Equation of line parallel to given line and through `(1,-2,3)` is `(x-1)/2=(y+2)/3=(z-3)/-6` …………(1)
Promotional Banner

Topper's Solved these Questions

  • EQAUTION OF STRAIGHT LINE AND ITS APPLICATION

    CENGAGE|Exercise DPP 3.2|13 Videos

  • EQUATION OF PLANE AND ITS APPLICATIONS -II

    CENGAGE|Exercise DPP 3.4|18 Videos

Similar Questions

Explore conceptually related problems

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

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

The distance of the point (1, 2) from the line x + y + 5 = 0 measured along the line parallel to 3x - y = 7 is equal to

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.

If the plane 2x-y+z=0 is parallel to the line (2x-1)/2=(2-y)/2 =(z+1)/a , then the value of a is

Find the distance of the point (-2,3,"\ "-4) from the line ("x"+2)/3=(2"y"+3)/4=(3"z"+4)/5 measured parallel to the plane 4"x"+12"y"-3"z"+1=0.

The distance of the point (-1,-5,-10) from the point of intersection of the line (x-2)/2=(y+1)/4=(z-2)/12 and the plane x-y+z=5 is

Find the distance of the point (-1,-5,-10) from the point of intersection of the line (x-2)/3=(y+1)/4=(z-2)/(12) and plane x-y+z=5.

Column I, Column II Image of the point (3,5,7) in the plane 2x+y+z=-18 is, p. (-1,1,-1) The point of intersection of the line (x-2)/(-3)=(y-1)/(-2)=(z-3)/2 and the plane 2x+y-z=3 is, q. (-21 ,-7,-5) The foot of the perpendicular from the point (1,1,2) to the plane 2x-2y+4z+5=0 is, r. (5/2,2/3,8/3) The intersection point of the lines (x-1)/2=(y-2)/3=(z-3)/4a n d(x-4)/5=(y-1)/2=z is, s. (-1/(12),(25)/(12),(-2)/(12))

Find the equation of the plane through the points (1,0,-1),(3,2,2) and parallel to the line (x-1)/1=(y-1)/(-2)=(z-2)/3 .

CENGAGE-EQUATION OF PLANE AND ITS APPLICATIONS -I -DPP 3.3
  1. If the perpendicular distance of a point A, other than the origin from...

    Text Solution

    |

  2. Show that the disease of the point of intersection of the line (x-2)/3...

    Text Solution

    |

  3. The value of k for which the planes kx+4y+z=0, 4x+ky+2z=0 nd 2x+2y+z=0...

    Text Solution

    |

  4. Let P=-(1,7,sqrt(2)) be a point and line L is 2sqrt(2)(x-1)=y-2,z=0. I...

    Text Solution

    |

  5. Angle between the two planes of which one plane is 4x +y + 2z=0 and a...

    Text Solution

    |

  6. The distance of the point (1,-2,3) from the plane x-y+z-5=0, measured ...

    Text Solution

    |

  7. The angle between the pair of planes represented by equation 2x^2-2y^2...

    Text Solution

    |

  8. The Cartesian equation of the plane vec r=(1+lambda-mu) hat i+(2-l...

    Text Solution

    |

  9. The locus represented by xy+yz=0 is a pair of

    Text Solution

    |

  10. Equation of line passing through A(1,0,3), intersecting the line (x/2=...

    Text Solution

    |

  11. If P(alpha,beta,gamma) is a vertex of an equilateral triangle PQR wher...

    Text Solution

    |

  12. The variable plane (2lambda+1)x+(3-lambda)y+z=4 always passes through ...

    Text Solution

    |

  13. In X-Y plane, the path defined by the equation (1)/(x^(m))+(1)/(y^(m))...

    Text Solution

    |

  14. Consider the equation E(1):vecr xx (2hati-hatj+3hatk)=3hati+hatk an...

    Text Solution

    |

  15. the equationof a plane is 2x-y-3z=5 and A(1,1,1),B(2,1,-3),C(1,-2,-2) ...

    Text Solution

    |

  16. Let P denotes the plane consisting of all points that are equidistant ...

    Text Solution

    |

  17. Let P denotes the plane consisting of all points that are equidistant ...

    Text Solution

    |

  18. A line L(1) with direction ratios -3,2,4 passes through the point A(7,...

    Text Solution

    |

  19. A line L(1) with direction ratios -3,2,4 passes through the point A(7,...

    Text Solution

    |

  20. A line L(1) with direction ratios -3,2,4 passes through the point A(7,...

    Text Solution

    |