Home
Class 12
MATHS
A plane 2x+3y+5z=1 has a point P which i...

A plane `2x+3y+5z=1` has a point P which is at minimum distance from line joining `A(1, 0, -3), B(1, -5, 7),` then distance AP is equal to

A

`3sqrt(5)`

B

`2sqrt(5)`

C

`4sqrt(4)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
(b)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|28 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 4|7 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 ratio in which 2x+3y+5z=1 divides the line joining the points (1, 0, -3) and (1, -5, 7).

The length of projection of the line segmet joining the points (1, 0, -1) and (-1, 2, 2) on the plane x+3y-5z=6 is equal to

The ratio of the distances from the points (1,-1,3) and (3,3,3) to the plane 5x+2y-7z+9=0 is

The point at which the line joining the points (2, -3, 1) and (3, -4, -5) intersects the plane 2x+y+z=7 is

The projection of the line joining (2,3,4) and (5,6,7) on the plane 2x+y+z=1 is: -

Find the ratio in which the plane 2x+3y+5z=1 divides the line segment joining the points (1,0,-3) and (1,-5,7) .

The ratio in which the plane 2x + 3y + 5z = 1 divides the line segment joining the points (1, 0, 0) and (1, 3, -5) is

The ration in which the plane 4x+5y-3z=8 divides the line joining the point (-2,1,5) and (3 ,3, 2) is

The length of the projection of the line segment joining the points (2,1,3) and (3,-2,5) on the plane x+y+z=3 is equal to

The coordinates of the point in which the line joining the points (2, 5, -7) and (-3, -1, 8) are intersected by the y-z plane are

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. Show that x(1) hati+y(1) hatj+ z1hatk, x2hati+y2hatj+z2hatk and x3hati...

    Text Solution

    |

  2. The position vectors of points of intersection of three planes rcdotn1...

    Text Solution

    |

  3. A pentagon is formed by cutting a triangular corner from a rectangular...

    Text Solution

    |

  4. In a dimensional coodinate a system P, Q and R are image of a point A(...

    Text Solution

    |

  5. A plane 2x+3y+5z=1 has a point P which is at minimum distance from lin...

    Text Solution

    |

  6. The locus of point which moves in such a way that its distance from th...

    Text Solution

    |

  7. A cube C={(x, y, z)|o le x, y, zle1} is cut by a sharp knife along the...

    Text Solution

    |

  8. A ray of light is sent through the point P(1, 2, 3,) and is reflected ...

    Text Solution

    |

  9. A plane cutting the axes in P, Q, R passes through (alpha-beta, beta-g...

    Text Solution

    |

  10. The shortest distance between any two opposite edges of the tetrahedro...

    Text Solution

    |

  11. The angle between the pair of planes represented by equation 2x^2-2y^2...

    Text Solution

    |

  12. Let (p, q, r) be a point on the plane 2x+2y+z=6, then the least value ...

    Text Solution

    |

  13. The fout lines drawing from the vertices of any tetrahedron to the cen...

    Text Solution

    |

  14. The shorteast distance from (1, 1, 1) to the line of intersection of t...

    Text Solution

    |

  15. The shortest distance between the two lines L1:x=k1, y=k2 and L2: x=k3...

    Text Solution

    |

  16. A=[{:(l(1),m(1),n(1)),(l(2),m(2),n(2)),(l(3),m(3),n(3)):}] and B=[{:(p...

    Text Solution

    |

  17. If ABCD is a tetrahedron such that each triangleABC, triangleABD and t...

    Text Solution

    |

  18. In a regular tetrahedron, if the distance between the mid points of op...

    Text Solution

    |

  19. A variable plane makes intercepts on X, Y and Z-axes and it makes a t...

    Text Solution

    |

  20. If P, Q, R, S are four coplanar points on the sides AB, BC, CD, DA of ...

    Text Solution

    |