Home
Class 12
MATHS
Find the foot of the perpendicular from ...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    RD SHARMA ENGLISH|Exercise All Questions|3 Videos

  • TANGENTS AND NORMALS

    RD SHARMA ENGLISH|Exercise All Questions|244 Videos

Similar Questions

Explore conceptually related problems

Find the length of the perpendicular from the point (1,2,3) to the line (x-6)/3=(y-7)/2=(z-7)/(-2)dot

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

Find the coordinates of the foot of the perpendicular from the point (1, 1, 2) to the plane 2x-2y+4z+5=0. Also the find the length of the perpendicular.

Find the length of the perpendicular from the point (-3, 4) to theline 3x+4y-5=0

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

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

Find the coordinates of the foot of perpendicular from the point (-1,3) to the line 3x-4y-16=0 .

Find the length of perpendicular from point (3,-2) to the line 3x-4y-2=0 .

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

RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  1. Find the foot of the perpendicular drawn from the point 2 hat i- ha...

    Text Solution

    |

  2. By computing the shortest distance determine whether the following ...

    Text Solution

    |

  3. Find the foot of the perpendicular from the point (0,2,3) on the line ...

    Text Solution

    |

  4. The Cartesian equations of a line are 6x-2=3y+1=2z-2. Find its directi...

    Text Solution

    |

  5. Prove that the lines through A(0,-1,-1)a n dB(4,5,1) intersecrs the li...

    Text Solution

    |

  6. The points A(4, 5, 10), B(2, 3, 4) and C (1, 2,-1) are thr...

    Text Solution

    |

  7. Find the Cartesian equation of a line passing through the points A(2,\...

    Text Solution

    |

  8. Show that the points whose position vectors are 5 hat i+5 hat k ,\ 2 h...

    Text Solution

    |

  9. Find the vector and Cartesian equations of the line through the point ...

    Text Solution

    |

  10. Find the vector equation of the line passing thought the points (-1,\ ...

    Text Solution

    |

  11. Find the vector equation of a line which is parallel to the vector 2 h...

    Text Solution

    |

  12. A line passes through the point with position vector 2 hat i-3 hat j+4...

    Text Solution

    |

  13. A B C D is a parallelogram the position vectors of the points A ,\ B ,...

    Text Solution

    |

  14. Find the vector form as well as in Cartesian form, the equation of the...

    Text Solution

    |

  15. Find the vector equation for the line which passes through the point ...

    Text Solution

    |

  16. The Cartesian equations of a line are (x-5)/3=(y+4)/7=(z-6)/2dot Find ...

    Text Solution

    |

  17. Find the Cartesian equation of a line passing through (1, -1, 2) and ...

    Text Solution

    |

  18. Find the direction cosines of the line (4-x)/2=y/6=(1-z)/3dot Also, re...

    Text Solution

    |

  19. Find the points on the line (x+2)/3=(y+1)/2=(z-3)/2\ at a distance ...

    Text Solution

    |

  20. Show that the points whose position vectors are -2 hat i+3 hat j ,\ h...

    Text Solution

    |