Home
Class 12
MATHS
find the coordinates of point where the ...

find the coordinates of point where the line through (3,-4,-5) and (2,-3,1) crosses the plane `2x+y+z=7`.

Text Solution

Verified by Experts

The correct Answer is:
`(1,-2,7)`
Promotional Banner

Topper's Solved these Questions

  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28C|34 Videos

  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28F|18 Videos

  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28A|9 Videos

  • SYSTEM OF LINEAR EQUATIONS

    RS AGGARWAL|Exercise Objective Questions|53 Videos

  • VECTOR AND THEIR PROPERTIES

    RS AGGARWAL|Exercise Exercise 22|24 Videos

Similar Questions

Explore conceptually related problems

Find the coordinates of the point where the line through (3,-4,-5) and (2,-3,1) crosses the plane passing through the points (2,2,1),(3,0,1) and (4,-1,0).

Find the coordinates of the point when the line through (3,2,5) and (-2,3,4) crosses the xy plane.

Find the coordinates of the point where the line through (3,4,5) and (2,3,1) crosses the plane determined by points A(1,2,3),B(2,2, 1) and C(-1,3

Find the coordinates of the point where the line through (5,1,6) and (3,4,1) crosses the ZX-plane.

Find the coordinates of the point where the line through (5,1,6) and (3,4,1) crosses the YZ-plane.

Find the coordinartes of the point where the line through (3,4,1) and (5,1,6) crosses xy-plane

Find the coordinates of the point where the line through the points (3,4,5) and (2,3,1), crosses the plane determined by the points (1,2,3),(4,2,3) and (0,4,3).

Find the coordinates of the point where the line through (3, 4, 1) and (5, 1, 6) crosses XY-plane.

Find the coordinates of the point where the line through (3,-4,-5) and crosses the plane crosses the plane quad 2x+y+z=7

Find the coordinate of the point where the line through (5, 1, 6) and (3, 4, 1) crosses the i. yz-plane ii. zx-plane.

RS AGGARWAL-THE PLANE-Exercise 28B
  1. For each of the following planes, find the direction cosines of the no...

    Text Solution

    |

  2. Find the vector and Cartesian equations of the plane passing throgh th...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the co-ordinates of the foot of perpendicular and the length of p...

    Text Solution

    |

  5. Find the length of the foot of the perpendicular from the point (1,1,2...

    Text Solution

    |

  6. From the point P(1,2,4) a perpendicular is drawn on the plane 2x+y-2z+...

    Text Solution

    |

  7. Find the coordinates of the foot of the perpendicular and the perpendi...

    Text Solution

    |

  8. Find the coordinates of the image of the point P(1, 3, 4) in the plane...

    Text Solution

    |

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

    Text Solution

    |

  10. find the coordinates of point where the line through (3,-4,-5) and (2,...

    Text Solution

    |

  11. Find the distance of the point (2,3,4) from the plane 3x+2y+2z+5=0 mea...

    Text Solution

    |

  12. Find the distance of the point (0,-3,2) from the plane 3x+2y+2z+5=0, ...

    Text Solution

    |

  13. Find the equation of the line passing through the point "P"(4,6,2) ...

    Text Solution

    |

  14. Show that the distance of the point of intersection of the line (x-2)/...

    Text Solution

    |

  15. Find the distance of the point (-1,-5,-10) from the point of the inter...

    Text Solution

    |

  16. Prove tht the normals to the planes 4x+11y+2z+3=0 and 3x-2y+5z=8 are p...

    Text Solution

    |

  17. Show that the line vecr=(2hati-2hatj+3hatk)+lambda(hati-hatj+4hatk) is...

    Text Solution

    |

  18. Find the equation of a plane which is at a distance of 3\ sqrt(3) unit...

    Text Solution

    |

  19. A vector vec n f magnitude 8 units is inclined to x-axis at 45^0 , y-...

    Text Solution

    |

  20. Find the equation of a line passing through the point (2hati-3hatj-5h...

    Text Solution

    |