Home
Class 12
MATHS
For what value 'a' will the number sqrt(...

For what value 'a' will the number `sqrt(1/2),a,sqrt(1/3)` be the direction cosines of a line?

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CARTESIAN AND POLAR COORDINATE SYSTEM

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|26 Videos
  • CO-ORDINATE GEOMETRY OF TWO DIMENSIONS (CONIC SECTION)

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|110 Videos

Similar Questions

Explore conceptually related problems

Can (1/sqrt3,1/sqrt2,1/sqrt2) be direction cosines of a vector.

If (1)/(sqrt(2)),(1)/(2) , n are the direction consines of a line, then n =

Under what condition do (1/sqrt2,1/2,K) represent direction cosines of a line ?

If a line has the direction ratios sqrt(2),-sqrt(5),sqrt(2) , then its direction cosines are

can -1/(2sqrt(2))-1/sqrt(2),-1/sqrt(3) be the direction cosines of any directed line? Justify your answer.

If the direction ratio of a line is 1,-2,2 Then what are the direction cosines of the line

The Cartesian equations of a line AB are (2x-1)/(sqrt(3))=(y+2)/2=(z-3)/3dot Find the direction cosines of a line parallel to AB.

If 1/2,1/3,n are direction cosines of a line, then the value of n is

[" A point on a line has coordinates "],[(p+1,p-3,sqrt(2)p)" where "p" is any "],[" real number.What are the direction "],[" cosines of the line? "],[" (a) "(1)/(2),(1)/(2),(1)/(sqrt(2))],[" (6) Cannot be determined due to "],[" insufficient data "]

MAHAVEER PUBLICATION-CO-ORDINATE GEOMETRY OF THREE DIMENSIONS-QUESTION BANK
  1. If cosalpha, cosbeta, cosgamma be the direction cosines of a line, pro...

    Text Solution

    |

  2. Find the direction cosines of a line which makes equal angles with ...

    Text Solution

    |

  3. For what value 'a' will the number sqrt(1/2),a,sqrt(1/3) be the direct...

    Text Solution

    |

  4. The angle between the planes 2x-y+3z=6 and x+y+2z=7 is

    Text Solution

    |

  5. A line joining the points (1,1,1) and (2,2,2) intersect the plane x+y+...

    Text Solution

    |

  6. Find the image of point (3,-2,1) in the plane 3x- y + 4z = 2.

    Text Solution

    |

  7. Let L be the line of intersection of the planes 2x""+""3y""+""z""="...

    Text Solution

    |

  8. The ratio in which the line joining (2,4,5) and (3,5,-4) is divided by...

    Text Solution

    |

  9. The distance of the point (2,1,-1) from the plane x-2y+4z=9 is (A) sqr...

    Text Solution

    |

  10. The line (x+1)/1 =(y-1)/2=(z-1)/0

    Text Solution

    |

  11. Equation of the line passing through (1,1,1) and perpendicular to the...

    Text Solution

    |

  12. Find the distance of the following points from the origin (0,-4,4)

    Text Solution

    |

  13. Find the distance of the following points from the origin (2,4,-3)

    Text Solution

    |

  14. Find the distance of the following points from the origin (4,-5,3)

    Text Solution

    |

  15. What is the distance of the y-axis from the point(3,-4,0)?

    Text Solution

    |

  16. Find the distances between the following pair of points. (4,3,-6) and ...

    Text Solution

    |

  17. Find the distances between the following pair of points. (-4,-2,3) and...

    Text Solution

    |

  18. If the distance between the points (x,2,0) and (1,3,1) be sqrt6 , find...

    Text Solution

    |

  19. Show that the points (1,-2,-3),(2,-3,-1) and (3,-1,-2) are the vertice...

    Text Solution

    |

  20. Show that the triangle with vertices (6,10,10),(1,0,-5) and (6,-10,0)...

    Text Solution

    |