Home
Class 12
MATHS
Find the point of intersection of the li...

Find the point of intersection of the line `(x-1)/(2)=(2-y)/(3)=(z+3)/(4)` and the plane 2x + 4y - z = 1. Also find the angle between them.

Text Solution

Verified by Experts

The correct Answer is:
(3,-1,1);`sin^(-1)((12)/(sqrt(609)))`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise TEXTBOOK IILUSTRATIONS FOR PARCTICE WORK|30 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXAMPLAR PROBLEMS (Short Answer Type Question)|49 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE-11|23 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

Find the co-ordinates of the point where the line (x+1)/(2)=(y+2)/(3)=(z+3)/(4) cross the planel x + y + 4z = 6.

Find the angle between the line (x+1)/(2)=y/3=(z-3)/(6) and the plane 10x + 2y – 11z = 3.

Find the angle between the line (x+1)/(2)=y/3=(z-3)/(6) and the plane 10x + 2y – 11z = 3.

Find the angle between the lines (x+1)/(2)=(y)/(3)=(z-3)/(6) and the planes 3x+y+z=7 .

The perpendicular distance from the point of intersection of the line (x+1)/(2)=(y+2)/(3)=(z)/(-1) and plane 2x-y+z=0 to the Z -axis is ......

The angle between the line (x-1)/(1) = (2-y)/(1) = (z+1)/(1) and the plane 2x-y + z = 4 is......

Find the image of the line (x-1)/2=(y+1)/(-1)=(z-3)/4 in the plane 3x-3y+10 z-26=0.

Find the intersection point of (x)/(1)=(y)/(2)=(z)/(2)and2x+y+z=6 .

If the line (x-4)/(1) = (y-2)/(1) = (z+k)/(2) lies in the plane 2x -4y + z =7 then k =........

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-PRACTICE WORK
  1. Find the angle between the lines (5-x)/(-2)=(y+3)/(1)=(1-z)/(3) and x/...

    Text Solution

    |

  2. Show that the lines (x-5)/(7)=(y+2)/(-5)=z/1 and x/1=y/2=z/3 are perpe...

    Text Solution

    |

  3. Find the co-ordinates of the point where the line (x+1)/(2)=(y+2)/(3)=...

    Text Solution

    |

  4. Find the co-ordinates of the point where the line through A(3, 4, 1) a...

    Text Solution

    |

  5. Find the coordinates of the foot of perpendicular drawn from the point...

    Text Solution

    |

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

    Text Solution

    |

  7. Find the image of the point (3, 5, 3) with respect to the line x/1=(y-...

    Text Solution

    |

  8. Find the equation of the plane passing through the points (1, 2, 3) an...

    Text Solution

    |

  9. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  10. Find the equation of the plane passing through the point (3, 4, -1) an...

    Text Solution

    |

  11. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  12. If the points (1, 1, lambda) and (-3, 0, 1) be equidistant from the pl...

    Text Solution

    |

  13. Find the vector equation of the plane containing the lines vecr=(hati+...

    Text Solution

    |

  14. Find the equation of the plane containing two parallel lines (x-4)/(1)...

    Text Solution

    |

  15. Show that the line vecr=hati+hatj+lambda(2hati+hatj+4hatk) lies in the...

    Text Solution

    |

  16. Find the image of the point (1, 3, 4) in the plane vecr.(2hati-hatj+ha...

    Text Solution

    |

  17. Find the foot of perpendicular from the point (0, 2, -2) to the plane ...

    Text Solution

    |

  18. Find the point of intersection of the line (x-1)/(2)=(2-y)/(3)=(z+3)/(...

    Text Solution

    |

  19. Find the equation of perpendicular bisector of the plane of the line s...

    Text Solution

    |

  20. Find the direction cosines of the two lines which are connected by the...

    Text Solution

    |