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

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

A

7

B

1

C

3

D

13

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - B|47 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - C|14 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|97 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 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

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

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

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

Find the distance of the point (1,-2,3) from the plane x-y+z=5 measured parallel to the line whose direction cosines are proportional to 2,3,-6 .

Find the distance of the point (1,-2,3) from the plane x-y+z=5 measured parallel to the line whose direction cosines are proportional to 2,3,-6.

Find the distance of the point (2, 3, 4) from the plane 3x + 2y + 2z + 5= 0 measured parallel to the line (x+3)/3=(y-2)/6=z/2 .

If the distance of the point (1, 2, 3) from the plane 2x - y + z = 6 measured parallel to line x/1=y/2=z/3 is sqrt(a) sqrt(b) where a and b are two prime numbers then find max. (a, b).

Find the distance of the point (2, 3, -5) from the plane x+2y-2z-9=0.

The distance of the point (1, 2, 3) from the plane x+y-z=5 measured along the straight line x=y=z is

AAKASH INSTITUTE ENGLISH-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - A
  1. Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

    Text Solution

    |

  2. The direction cosines of the normal to the plane x + 2y - 3z + 4 = 0...

    Text Solution

    |

  3. Find the distance of the point (1,-2,3) from the plane x-y+z=5 measure...

    Text Solution

    |

  4. The coordinates of the point in which the line joining the points (2,...

    Text Solution

    |

  5. Find the angle between the planes 2x - y + 3z = 6 and x + y +2z =7.

    Text Solution

    |

  6. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(2)a n d(x-1)/(3k)=(y-5)/1=(z...

    Text Solution

    |

  7. The number of unit vectors perpendicular to the plane of vectors veca=...

    Text Solution

    |

  8. The lines (x-2)/1=(y-3)/2=(z-4)/(-2k)and (x-1)/k=(y-2)/3=(z-6)/1 are...

    Text Solution

    |

  9. If the lines (x-1)/2=(y+1)/3=z/(5t-1) and (x+1)/(2s+1)=y/2=z/4 are p...

    Text Solution

    |

  10. Find value of lambda if two lines having direction ratios 1, -2, 3 and...

    Text Solution

    |

  11. If plane passes through the point (1, 1,1) and is perpendicular to the...

    Text Solution

    |

  12. Find the equation of the plane containing the line of intersection of ...

    Text Solution

    |

  13. The plane passing through the point (-2, -2, -3) and containing the ...

    Text Solution

    |

  14. Equation of plane parallel to 3x + 4y + 5z - 6 = 0, 6x + 8y + 10z - 16...

    Text Solution

    |

  15. If the plane 3x - 4y + 5z = 0 is parallel to (2x-1)/4=(1-y)/(3)=(z-2)...

    Text Solution

    |

  16. Find the foot of perpendicular from (0, 2, 3) to the line (x-3)/2= (...

    Text Solution

    |

  17. The shortest distance between the lines (x-1)/2= (y-1)/3=(z+2)/6and ...

    Text Solution

    |

  18. Show that the angle between two diagonals of a cube is cos^(-1)sqrt(1/...

    Text Solution

    |

  19. The distance of a plane 3x + 4y - 5z = 60 from origin

    Text Solution

    |

  20. Find the equation of line passing through (2, -1, 3) and equally incli...

    Text Solution

    |