Home
Class 12
MATHS
The distance of the point (1, 3, -7) fro...

The distance of the point `(1, 3, -7)` from the plane passing through the point `(1, -1, -1)` having normal perpendicular to both the lines `(x-1)/(1)=(y+2)/(-2)=(z-4)/(3) and (x-2)/(2)=(y+1)/(-1)=(z+7)/(-1)` is

A

`(20)/(sqrt(74))` units

B

`(10)/(sqrt(83))` units

C

`(5)/(sqrt(83))` units

D

`(10)/(sqrt(74))` units

Text Solution

Verified by Experts

The correct Answer is:
(b)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|9 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Read the following passage and answer the questions. Consider the lines L_(1) : (x+1)/(3)=(y+2)/(1)=(z+1)/(2) L_(2) : (x-2)/(1)=(y+2)/(2)=(z-3)/(3) Q. The distance of the point (1, 1, 1) from the plane passing through the point (-1, -2, -1) and whose normal is perpendicular to both the lines L_(1) and L_(2) , is

The distance of the point (1,-2,4) from the plane passing through the point (1,2,2) perpendicular to the planes x-y+2z=3 and 2x-2y+z+12=0 is

What is the equation of the line passing through the point (1,2,3) and perpendicular to the lines (x+1)/(1)=(y+2)/(2)=(z+3)/(3) and (x)/(-3)=(y)/(2)=(z)/(5) ?

cosider the lines, L1=(x+1)/3=(y+2)/1=(z+2)/2 L2=(x-2)/1=(y+2)/2=(z-3)/3 The distance of the point (1, 1, 1) from the plane passing through the point (-1, -2, -1) and whose normal is perpendicular to both the lines L_1 and L_2 is

Read the following passage and answer the questions. Consider the lines L_(1):(x+1)/(3)=(y+2)/(1)=(z+1)/(2),L_(2):(x-2)/(1)=(y+2)/(2)=(z-3)/(3) The distance of the point (1,1,1) from the plane passing throught the point (-1,-2,-1) and whose normal is perpendicular to both the lines L_(1) and L_(2) , is

Find the equations of the line passing through the point (-1,3,-2) and perpendicular to each of the lines (x)/(1) =(y)/(2)=(z)/(3) " and " (x+2)/(-3) =(y-1)/(2)=(z+1)/(5)

Find the equation of the line passing through the point (2, 1, 3) and perpendicular to the lines (x-1)/1=(y-2)/2=(z-3)/3andx/(-3)=y/2=z/5

Find the equation of the line passing through the point (-1,2,3) and perpendicular to the lines (x)/(2)=(y-1)/(-3)=(z+2)/(-2) and (x+3)/(-1)=(y+3)/(2)=(z-1)/(3)

Find the equation of the line passing through the point (3,1,2) and perpendicular to the lines (x-1)/1=(y-2)/2=(z-3)/3 and x/(-3)=y/2=z/5

A line L passing through the point P[1,4,3] is perpendicular to both the lines (x-1)/2=(y+2)/3=(z+1)/5 and (x+2)/2=(y-4)/1=(z+1)/3

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Consider the planes 3x-6y-2z=15a n d2x+y-2z=5. Statement 1:The parame...

    Text Solution

    |

  2. If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 measur...

    Text Solution

    |

  3. The distance of the point (1, 3, -7) from the plane passing through th...

    Text Solution

    |

  4. The distance of the point (1,-5,""9) from the plane x-y+z=5 measured a...

    Text Solution

    |

  5. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the place, l x+m y-z=9...

    Text Solution

    |

  6. The disatance of the point (1, 0, 2) from the point of intersection of...

    Text Solution

    |

  7. The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and ...

    Text Solution

    |

  8. The angle between the lines whose direction cosines satisfy the equ...

    Text Solution

    |

  9. The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+...

    Text Solution

    |

  10. Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

    Text Solution

    |

  11. If the lines (x-2)/1=(y-3)/1)(z-4)/(-k) and (x-1)/k=(y-4)/2=(z-5)/1 ar...

    Text Solution

    |

  12. An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit...

    Text Solution

    |

  13. If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/...

    Text Solution

    |

  14. If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane ...

    Text Solution

    |

  15. Statement-I The point A(1, 0, 7) is the mirror image of the point B(1,...

    Text Solution

    |

  16. The length of the perpendicular drawn from the point (3, -1, 11) to th...

    Text Solution

    |

  17. The distance of the point (1,-5,""9) from the plane x-y+z=5 measured a...

    Text Solution

    |

  18. A line AB in three-dimensional space makes angles 45^(@) and 120^(@) w...

    Text Solution

    |

  19. Statement-I The point A(3, 1, 6) is the mirror image of the point B(1,...

    Text Solution

    |

  20. Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alp...

    Text Solution

    |