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

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|20 Videos

  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 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

MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. The number of distinct real values of lamda for which (x-1)/1=(y-2)/2=...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. If the lies (x-3)/1=(y+2)/-1=(z+lambda)/(-2) lies on the line, 2x - 4...

    Text Solution

    |

  5. The coordinates of the foot of the perpendicular from the point (1, -2...

    Text Solution

    |

  6. Line of intersection of the two planes barr.(3i - j + k)=1 and barr.(i...

    Text Solution

    |

  7. If a variable plane, at a distance of 3 units from the origin, interse...

    Text Solution

    |

  8. The length of the projection of the line segment joining the points (5...

    Text Solution

    |

  9. If L1 is the line of intersection of the planes 2x-2y+3x-2=0x-y+z+1=0 ...

    Text Solution

    |

  10. A variable plane passes through a fixed point(3,2,1) and meets and ...

    Text Solution

    |

  11. An agle between the plane, x + y+ z =5 andthe line of intersection of ...

    Text Solution

    |

  12. The sum of the intercepts on the coordinate axes of the plane passing ...

    Text Solution

    |

  13. If the angle between the lines, x/2=y/2=z/1 and (5-x)/(-2) = (7y-14)/(...

    Text Solution

    |

  14. A plane bisects the line segment joining the points (1,2,3) and (-3,4,...

    Text Solution

    |

  15. An angle between the lines whose direction cosines are given by the eq...

    Text Solution

    |

  16. If lines x=ay+b, z= cy +d " and " x=a' z+b y+c' z+ d' are perpen...

    Text Solution

    |

  17. Two lines (x-3)/1 = (y+1)/3 = (z-6)/(-1) and (x+5)/7 = (y-2)/(-6) = (z...

    Text Solution

    |

  18. On which of the following lines lies the point of intersection of the ...

    Text Solution

    |

  19. The plane which bisects the line segment joining the points (-3, -3, 4...

    Text Solution

    |

  20. If the point (2 , alpha , beta) lies on the plane which passes throug...

    Text Solution

    |