Home
Class 12
MATHS
Perpendicular are drawn from points on ...

Perpendicular are drawn from points on the line `(x+2)/(2)=(y+1)/(-1)=(z)/(3)` to the plane `x+y+z=3`. The feet of perpendiculars lie on the line.

A

`(x)/(5)=(y-1)/(8)=(z)/(3)`

B

`(x)/(3)=(y-1)/(3)=(z-2)/(8)`

C

`(x)/(4)=(y-1)/(3)=(z-2)/(-7)`

D

`(x)/(2)=(y-1)/(-7)=(z-2)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
(d)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 11 : Subjective Type Questions|1 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

Find the length of perpendicular drawn from the point (3,4,5) on the line (x-2)/(2)=(y-3)/(5)=(z-1)/(3) Also find the foot of perpendicular.

Find the equations of the perpendicular from the point (3, -1, 11) to the line (x)/(2)=(y-2)/(3)=(z-3)/(4) . Also find the coordinates of the foot of the perpendicular and length of the perpendicular.

Find the point where the line (x+1)/2=(y+2)/3=(z+3)/4 meets the plane x+y+4z=6 .

The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+z+3=0 is the line

Find the perpendicular distance of the point (1, 1, 1) from the line (x-2)/(2)=(y+3)/(2)=(z)/(-1) .

Find the distance of the line (x+1)/-3=(y-3)/2=(z-2)/1 in the plane x+y+z+3=0.

Find the length of perpendicular from (2,1,3) on the line (x-4)/(5)=(y-2)/(4)=(z-3)/(3)

The length of the perpendicular drawn from the point (3, -1, 11) to the line (x)/(2)=(y-2)/(3)=(z-3)/(4) is

Find the length of the perpendicular drawn from the point (2, 3, 7) to the plane 3x - y - z = 7. Also find the coordinates of the foot of the perpendicular.

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Two lines L(1) : x=5, (y)/(3-alpha)=(z)/(-2) and L(2) : x=alpha, (y)/(...

    Text Solution

    |

  2. A line l passing through the origin is perpendicular to the lines l1...

    Text Solution

    |

  3. Perpendicular are drawn from points on the line (x+2)/(2)=(y+1)/(-1)=...

    Text Solution

    |

  4. If the straight lines (x-1)/(2)=(y+1)/(k)=(z)/(2) and (x+1)/(5)=(y+1)/...

    Text Solution

    |

  5. If the distance between the plane Ax-2y+z=d. and the plane containing ...

    Text Solution

    |

  6. Read the following passage and answer the questions. Consider the line...

    Text Solution

    |

  7. Read the following passage and answer the questions. Consider the line...

    Text Solution

    |

  8. Consider the line L1 : (x +1)/3 = (y+ 2)/1= (z +1)/2 L2 : (x-2)/1=...

    Text Solution

    |

  9. Consider three planes P1 : x-y + z = 1, P2 : x + y-z=-1 and P3 : x-...

    Text Solution

    |

  10. Consider the planes 3x-6y-2z=15 and 2x+y-2z=5. find the angle between...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. The equation of the plane containing the line 2x-5y""+""z""=""3;""x...

    Text Solution

    |

  17. The angle between the lines whose direction cosines satisfy the equa...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. 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

    |