Home
Class 12
MATHS
Find the distance of the point P(3,8,...

Find the distance of the point `P(3,8,2)` from the line `1/2(x-1)=1/4(y-3)=1/3(z-2)` measured parallel to the plane `3x+2y-2z+15=0.`

Promotional Banner

Topper's Solved these Questions

  • THEORY AND EXERCISE BOOK

    MOTION|Exercise EXERCISE - 4 (LEVEL -II)|22 Videos
  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise -4(Level -II)|9 Videos

Similar Questions

Explore conceptually related problems

The distance of the point P(3,8,2) from the line (x-1)/(2)=(y-3)/(4)=(z-2)/(3) measured parallel to the plane 3x+2y-2z+17=0 is

Find the distance of the point (2,3,4) from the line (x+3)/(3)=(y-2)/(6)=(z)/(2) measured parallel to the plane 3x+2y+2z-5=0

Find the distance of the point (-2, 3, -5) from the line (x+2)/1=(y-3)/2=z/3.

Find the distance of the point (-2,3,-4) from the line (x+2)/(3)=(2y+3)/(4)=(3z+4)/(5) measured parallel to the plane 4x+12y-3z+1=0

the distance of the point (2,3,4) from the line (1-x)=(y)/(2)=(1)/(3)(1+z)

(i) Find the distance of the point (-2,3,-4) from the line : (x + 2)/(3) = (2y + 3)/(4) = (3z + 4)/(5), measured parallel to the plane 4x +12y -3z +1 = 0. (ii) Find the distance of the point -2hati+3hatj-4hatk from the line : vecr=hati+2hatj-hatk+lambda(hati+3hatj-9hatk) measured parallel to the plane x-y+2z-3=0

The distance of the point P(-2, 3, -4) from the line (x+2)/(3)=(2y+3)/(4)=(3z+4)/(5) measured parallel to the plane 4x+12y-3z+1=0 is d, then find the value of (2d-8), is……..

Distance of point P(-2,3,4) from the line (x+2)/3=(2y+3)/4=(3z+4)/5 measured parallel to the plane 8x+6y-9z+1=0 is

Find the distance of the point (1,0,-3) from the plane x-y-z=9 measured parallel to the line (x-2)/(2)=(y+2)/(2)=(z-6)/(-6)

MOTION-THREE DIMENSIONAL GEOMETRY (3 -D)-SOLVED EXAMPLE
  1. The cartesian equation of a line is (x-3)/(2)=(y+1)/(-2)=(z-3)/(5). Fi...

    Text Solution

    |

  2. If the lines x=ay +b, z=cy+d and x=a'y + b', z=c'y + d' are perpendi...

    Text Solution

    |

  3. Find the coordinates of the foot of the perpendicular drawn from po...

    Text Solution

    |

  4. Find the shortest distance between the lines vecr=(hatii+2hatj+hatk)+l...

    Text Solution

    |

  5. Show that the disease of the point of intersection of the line (x-2)/3...

    Text Solution

    |

  6. Find the co-ordinates of the foot of the perpendicular drawn from the ...

    Text Solution

    |

  7. The equation of straight line 3x + 2y - 2-4 = 0 ; 4x+y-2z + 3 = 0 in ...

    Text Solution

    |

  8. Find the equation of the plane through the intersection of the planes ...

    Text Solution

    |

  9. Find the equation of a plane passing through the line (x-1)/1=(y-2)/1=...

    Text Solution

    |

  10. Prove that the lines 3x + 2y + z – 5 = 0 = x + y – 2z – 3 and 2x – y –...

    Text Solution

    |

  11. Find the equation of the plane which contains the two parallel lines ...

    Text Solution

    |

  12. Find the distance of the point P(3,8,2) from the line 1/2(x-1)=1/4(...

    Text Solution

    |

  13. Find the intersection of the line joining the points (1, –2,–1) and (2...

    Text Solution

    |

  14. Equation of line of projection of the line 3x-y+2z-1=0=x+2y-z-2 on the...

    Text Solution

    |

  15. Find the equation of the projection of the line (x-1)/2=(y+1)/(-1)=...

    Text Solution

    |

  16. Find the foot and hence the lengh of perpendicular form (5,7,3) to the...

    Text Solution

    |

  17. Show that the planes 2x – 3y – 7z = 0, 3x – 14y – 13z = 0, 8x – 31y – ...

    Text Solution

    |

  18. Value of lambda do the planes x-y+z+1=0, lambdax+3y+2z-3=0, 3x+lambday...

    Text Solution

    |

  19. The equation of the line passing through (1, 1, 1) and perpendicular t...

    Text Solution

    |

  20. The shortest distance between line (x-3)/(3)=(y-8)/(-1)=(z-3)/(1) and ...

    Text Solution

    |