Home
Class 12
MATHS
A line passes through the points (6,-...

A line passes through the points `(6,-7,-1)a n d(2,-3,1)dot` Find te direction cosines off the line if the line makes an acute angle with the positive direction of the x-axis.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE ENGLISH|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

Find the direction cosines of the line passing through two points

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

Find the equation of a line which passes through (5, 4) and makes an angle of 60^@ with the positive direction of the x-axis.

Find the equation of a line through the origin which makes an angle of 45^0 with the positive direction of x-axis.

Find the equation a line passing through (2,-3) and inclined at an angle of 15^0 with the positive direction of x-axis.

Find the equation of the straight line passing through (3,-2) and making an angle of 60^0 with the positive direction of y-axis.

Find the equation of the straight line passing through (3,-2) and making an angle of 60^0 with the positive direction of y-axis.

Find the eqution of a line which passes through the point (-2, 3) and makes an angle of 60^0 with thepositive direction of x-axis.

Determine x so that the line passing through (3,4) and (x ,5) makes an angle of 135^0 with the positive direction of the x-axis.

Find the direction cosines of the line joining the points (1,-1,0) and (2, 1, 3).

CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. If A(3,2,-4),B(5,4,-6)a n dC(9,8,-10) are three collinear points, t...

    Text Solution

    |

  2. Find the ratio in which the y-z plane divides the join of the po...

    Text Solution

    |

  3. A line passes through the points (6,-7,-1)a n d(2,-3,1)dot Find te ...

    Text Solution

    |

  4. Find the angle between the lines whose direction cosines are connec...

    Text Solution

    |

  5. Find the point where line which passes through point (1,2,3) and i...

    Text Solution

    |

  6. Find the equation of the line passing through the points (1,2,3)a n...

    Text Solution

    |

  7. Find the equation of the line passing through the point (-1,2,3) an...

    Text Solution

    |

  8. The line joining the points (-2,1,-8)a n d(a ,b ,c) is parallel to...

    Text Solution

    |

  9. A parallelepiped is formed by planes drawn through the points P(6,8...

    Text Solution

    |

  10. Find the angle between any two diagonals of a cube.

    Text Solution

    |

  11. Direction ratios of two lines are a ,b ,ca n d1//b c ,1//c a ,1//a ...

    Text Solution

    |

  12. Find the equation of the line passing through the intersection of (x...

    Text Solution

    |

  13. The straight line (x-3)/3=(y-2)/1=(z-1)/0 is (a)Parallel to x-axis ...

    Text Solution

    |

  14. Find the equation of a plane containing the lines (x-5)/(4)=(y-7)/(4)=...

    Text Solution

    |

  15. Find the equation of the plane passing through the points (1,0,-1)a...

    Text Solution

    |

  16. Find the equation of the sphere described on the joint of points Aa...

    Text Solution

    |

  17. Find the radius of the circular section in which the sphere | vec r|...

    Text Solution

    |

  18. Find the equation of a sphere which passes through (1,0,0)(0,1,0)a ...

    Text Solution

    |

  19. Find the locus of a point which moves such that the sum of the squares...

    Text Solution

    |

  20. Find the equation of the sphere which has centre at the origin and tou...

    Text Solution

    |