Home
Class 12
MATHS
Using direction ratios show that the poi...

Using direction ratios show that the points P(2, 3, 4) Q(-1, -2, 1) and R(5, 8, 7) are collinear.

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

Using direction ratio show that the points (2, 6, 3), (1, 2, 7) and (3, 10, -1) are collinear.

Show that the points P(-2,3,5) ,Q (1,2,3) and R (7,0,-1) are collinear

Using direction ratios show that the points (2,6,3),(1,2,7) and (3,10,-1) are collinear.

Using section formula show tht the points A(2,-3,4) ,B (-1,2,1) and C(0,1/3,2) are collinear

By using section formula, show that the points .(1, 2, 3), (-2, 4, 2) and (7, -2, 5) are colinear

Show that the points (-2,3,5) ,(1,2,3) and (7,0,-1) are collinear

The points (5, 2, 4), (6, -1, 2) and (8,-7, k) are collinear if k =

Be vector method show that the points (2,-3,4),(-2,1,0)and (1,-2,3) are collinear

show by vector method that the points (2, -1, 3), (3, -5, 1) and (-1, 11, 9) are collinear.

Show that the points A (4 , 7 , -6) , B (2 , 5 , -4) and C ( 1 , 4 , -3) are collinear.

CHHAYA PUBLICATION-DIRECTION COSINES AND DIRECTION RATIOS-Exercise 3 : Short Answer Type Questions
  1. A straight line in the xy-plane makes an angle pi/4 with y-axis. Find ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Using direction numbers show that points P(4, 7, 8) and Q(2, 3, 4), R(...

    Text Solution

    |

  19. Let l(1), m(1), n(1) and l(2), m(2), n(2) be the direction ratios of t...

    Text Solution

    |

  20. Let P(-9, 4, 5) and Q(11, 0, -1) be two given points. If O be the orig...

    Text Solution

    |