Home
Class 12
MATHS
Under which conditions the straight line...

Under which conditions the straight line `(x-a)/l = (y-b)/m = (z-c)/n` intersects the plane `Ax + By + Cz = 0` at a point other than (a,b,c)?

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    ARIHANT PRAKASHAN|Exercise TOPIC TEST 3|20 Videos

  • THREE DIMENSIONAL GEOMETRY

    ARIHANT PRAKASHAN|Exercise CHAPTER TEST|24 Videos

  • THREE DIMENSIONAL GEOMETRY

    ARIHANT PRAKASHAN|Exercise TOPIC TEST 2|12 Videos

  • SIMILAR TEST 3

    ARIHANT PRAKASHAN|Exercise SECTION C|14 Videos

  • VECTORS

    ARIHANT PRAKASHAN|Exercise CHAPTER TEST (6 MARK QUESTIONS)|9 Videos

Similar Questions

Explore conceptually related problems

Find the co-ordinates of a point where the line (x- 2)/3 = (y+1)/4 = (z-2)/2 intersect the plane x - y + z = 5 .

Find the co-ordinates of the point where the line (x-2)/3=(y+1)/4=(z-2)/2 intersect the plane x-y+z-5=0

Find the point of intersection of the line (x-2)/3 = (y + 1)/4 = (z - 2)/12 and the plane x - y + z = 5.

Find the co-ordinates of the point where the (x - 2)/3 = (y+1)/4=(z-2)/2 intersect the plane x - y + z - 5 = 0 . Also find the angle between the line and the plane.

Find the points of intersection of the line (x-1)/1=(y+2)/ 3 =(z-1)/(-1) and the plane 2x+y+z=9.

ARIHANT PRAKASHAN-THREE DIMENSIONAL GEOMETRY -TOPIC -3- PRACTICE QUESTIONS
  1. Write the equations of the line 2x+z-4=0=2y+z in the symmetrical form.

    Text Solution

    |

  2. How many straight lines in space through the origin are equally inclin...

    Text Solution

    |

  3. Under which conditions the straight line (x-a)/l = (y-b)/m = (z-c)/n i...

    Text Solution

    |

  4. Write the equation of the line passing through the point (4, -6, 1) an...

    Text Solution

    |

  5. What is the point of intersection of the line x = y = z with the plane...

    Text Solution

    |

  6. Proved that the line (x-1)/2=(y+2)/(-3)=(z-3)/1 lies on the plane 7x+5...

    Text Solution

    |

  7. Find the value of k for which the line(x - 2)/3 = (1 - y)/k = (z - 1)/...

    Text Solution

    |

  8. Find the point of intersection of the line 2x - 4= 3y = z with plane x...

    Text Solution

    |

  9. The angle between the plane 3x+3z-5=0 and the line (x-1)/1=(y-2)/-1=(z...

    Text Solution

    |

  10. Find the coordinates of the points of intersection of the line 3x - 3=...

    Text Solution

    |

  11. What is the angle between the lines (x+2)/-4 = (y + 3)/5 = (z - 1)/3 a...

    Text Solution

    |

  12. If l,m,n be DC.s of a line, then the line is perpendicular to the plae...

    Text Solution

    |

  13. Find the equation of a line parallel to Y-axis and passing through the...

    Text Solution

    |

  14. If the line (x-3)/2=(y+k)/(-1)=(z+1)/(-5) lies on the plane 2x-y+z-7 =...

    Text Solution

    |

  15. Obtain the equation of the line through the point (1, 2, 3) and parall...

    Text Solution

    |

  16. Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2...

    Text Solution

    |

  17. Prove that the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y...

    Text Solution

    |

  18. Find the perpendicular distance of the point (-1,3,9) from the line (x...

    Text Solution

    |

  19. Using the method of elemination find the symmetrical form of equation ...

    Text Solution

    |

  20. Find the value of r, if the line  (x-1)/(1) = (y+2)/(3) = (z-1)/(-1) =...

    Text Solution

    |