Home
Class 12
MATHS
Find the foot of perpendicular from (0, ...

Find the foot of perpendicular from (0, 2, 3) to the
line `(x-3)/2= (y-1)/2=(z+4)/3`.

A

(-2, 3, 4)

B

(2, -1, 3)

C

(5, 3, -1)

D

(3, 2, -1)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - B|47 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - C|14 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise TRY YOURSELF|97 Videos
  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section - J (Akash Challengers Question)|15 Videos

Similar Questions

Explore conceptually related problems

Find the foot of the perpendicular from (1,2) to the line x-3y+4=0

The foot of the perpendicular from (1,2) on the line x-3y+7=0 is

find the foot of perpendicular form (0,2,7) to line (x+2)/(-1)=(y-1)/3=(z-3)/(-2)

Find the coordinates of the foot of perpendicular from the point (2,6,3) to the line x/2=(y-1)/2=(z-2)/3 . Also find the equation of this perpendicular.

Find the foot of the perpendicular from the point (0,2,3) on the line (x+3)/(5)=(y-1)/(2)=(z+4)/(3) . Also,find the length of the perpendicular.

Find the foot of the perpendicular from 1,2,-3 ) to th lin(x+1)/(2)=(y-3)/(-2)=(z-3)/(-1)

AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - A
  1. Equation of plane parallel to 3x + 4y + 5z - 6 = 0, 6x + 8y + 10z - 16...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Prove that the acute angle between two diagonals of a cube is cos^-1(1...

    Text Solution

    |

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

    Text Solution

    |

  7. The equation of line through the point (2, -1, 3) and which is equall...

    Text Solution

    |

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

    Text Solution

    |

  9. The equation of the plane through the line of intersection of the plan...

    Text Solution

    |

  10. Lines vecr = veca(1) + lambda vecb(1) and vecr = veca(2) + svecb(2) wi...

    Text Solution

    |

  11. The equation of a plane through the point (2, 3, 1) and (4, -5, 3) a...

    Text Solution

    |

  12. The line (x-4)/1=(y-2)/1=(z-k)/2 lies exactly on the plane 2x=4y+z=7 t...

    Text Solution

    |

  13. The angle between diagonal of a cube and diagonal of a face of the c...

    Text Solution

    |

  14. A point at a distance of sqrt(6) from the origin which lies on the s...

    Text Solution

    |

  15. The point where the line through A = (3, -2, 7) and B = (13, 3, -8) ...

    Text Solution

    |

  16. Find the equation of plane containing the line x+ y - z = 0 = 2x – y +...

    Text Solution

    |

  17. The equation of the plane passing through the intersection of x + 2y +...

    Text Solution

    |

  18. A unit vector normal to the plane through the points vecr, 2hatj and...

    Text Solution

    |

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

    Text Solution

    |

  20. The two lines x=ay+b, z=cy+d and x= a' y+ b', z= c' y +d' will be perp...

    Text Solution

    |