Home
Class 12
MATHS
A line makes an acute angle with the pos...

A line makes an acute angle with the positive direction of x-axis and passes through the points (6, -7, -1) and (2, -3, 1), find the direction cosines of the line.

Text Solution

Verified by Experts

The correct Answer is:
`2/3, -2/3, -1/3`
Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Exercise 3 : Long Answer Type question|6 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise MCQs|5 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Exercise 3 : Very Short Type Questions|14 Videos

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Sample Questions for competitive Exams ( E Assertion-Reason Type )|1 Videos

  • ELLIPSE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (D comprehension Type)|7 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the line Passing through the points (-1, 1) " and " (2, - 4) .

The direction cosines of the line joining the points (1, 2, -3) and (-2, 3, 1) are-

A line which makes an acute angle theta with the positive direction of the x-axis is drawn through the point P(3,4) to meet the line x=6 at R and y=8 at Sdot Then,

Can the numbers 1, 2, 3 be the direction cosines of a straight line?

A straight line passes through the point A(1,2) and makes an angle theta with the positive direction of x -axis . Find theta given that the distance of A from the point of intersection of this line with the line x+y=4 "is"(sqrt(6))/(3) unit.

A straight line passes throught the point P(3,-2) and makes an angle theta with the positive direction of x - axis Find theta , given that the distance of P from the point of intersection of this line with the line 3x+4y=4 is (3sqrt(2))/(5) units.

Find the direction cosines of the straight line joining the points (4, -3, -1) and (1, -1, 5).

If a line makes an angle of pi/4 with the positive direction of each of x-axis and y-axis, then the angel that the line makes with the positive direction of the z-axis is a. pi/3 b. pi/4 c. pi/2 d. pi/6

the direction cosines of the line joining the points (1,2-3) and (-2,3,1) are

Write the direction cosines of the line 6x-2=3y+1=2z-4 .

CHHAYA PUBLICATION-DIRECTION COSINES AND DIRECTION RATIOS-Exercise 3 : Short Answer Type Questions
  1. A straight line in the zx-plane makes an angle of pi/3 with the z-axis...

    Text Solution

    |

  2. If alpha, beta, gamma be the direction angles of a straight line, then...

    Text Solution

    |

  3. A line makes an acute angle with the positive direction of x-axis and ...

    Text Solution

    |

  4. A straight line in the xy-plane makes an angle pi/4 with y-axis. Find ...

    Text Solution

    |

  5. Calculate the direction cosines of the sides of the triangle whose ver...

    Text Solution

    |

  6. Using direction ratios show that the points P(2, 3, 4) Q(-1, -2, 1) an...

    Text Solution

    |

  7. A staright line makes angles pi/4 and pi/3 with the positive direction...

    Text Solution

    |

  8. If O is the origin and A(2, 3, 1), B(1, 1, -5) are two given points th...

    Text Solution

    |

  9. Show that the staright line joining the points (-1, 0, -2) and (1, 3, ...

    Text Solution

    |

  10. Prove that the straight line joining the points (4, 5, 0) and (5, 3, 3...

    Text Solution

    |

  11. Calculating the angle of the triangle, prove that the points A(3, 4, -...

    Text Solution

    |

  12. Find the acute angle between x-axis and the straight line joining the ...

    Text Solution

    |

  13. Calculating direction ratios show that the triangle formed by joining ...

    Text Solution

    |

  14. Straight lines OA and OB are drawn from the origin O, if the direction...

    Text Solution

    |

  15. Find the coordinates of the foot of the perpendicular drawn from the p...

    Text Solution

    |

  16. Determine the values of a and b for which the straight line joining th...

    Text Solution

    |

  17. If the straight line joining the points (4, -3, 2) and (3, -1, 5) is p...

    Text Solution

    |

  18. Find the acute angle between two straight lines whose direction number...

    Text Solution

    |

  19. Let A(2, -3, -1), B(4, 5, 2), C(-3, 4, 1) and D(2, 3, 5) are four give...

    Text Solution

    |

  20. Using direction ratios prove that the points (4, 2, -6), (5, -3, 1), (...

    Text Solution

    |