Home
Class 12
MATHS
If (l(1),m(1),n(1)),(l(2),m(2),n(2)) are...

If `(l_(1),m_(1),n_(1)),(l_(2),m_(2),n_(2))` are d.c's of two lines then find the value of `(l_(1)m_(2)-l_(2)m_(1))^(2)+(m_(1)n_(2)-n_(1)m_(2))^(2)+(n_(1)l_(2)-n_(2)l_(1))^(2)+(l_(1)l_(2)+m_(1)m_(2)+n_(1)n_(2))^(2)`

A

0

B

1

C

2

D

4

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES AND DIRECTION RATIOS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET -1|4 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET -2|3 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET -2|3 Videos

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-4|6 Videos

  • EAMCET - 2016 AP

    DIPTI PUBLICATION ( AP EAMET)|Exercise Questions|80 Videos

Similar Questions

Explore conceptually related problems

If (l_(1),m_(1),n_(1)),(l_(2),m_(2),n_(2)) are d.c's of two lines whose angle between them is 30^(@) , then d.c's of a line perpendicular to both these lines are k(m_(1)n_(2)-m_(2)n_(1),n_(1)l_(2)-n_(2)l_(1),l_(1)m_(2)-l_(2)m_(1)) , k =

Show that the condition that tha concurrent lines with direction cosines (l_(1).m_(1),n_(1)),(l_(2),m_(2),n_(2))and(l_(3),m_(3),n_(3)) are coplanar is l_(1)(m_(2)n_(3)-m_(3)n_(2))+m_(1)(n_(2)l_(3)-n_(3)l_(2))+n_(1)(l_(2)m_(3)-l_(3)n_(2))=0

If (l_(1),m_(1),n_1),(l_(2),m_(2),n_(2)) are d.c.s of two intersecting lines, show that d.c.s of two lines bisecting the angles between them are proportional to l_(1)+l_(2),m_(1)+m_(2),n_(1)+n_(2).

If l^(2)+m^(2)=1 then the max value of l+m is

If l_(1), m_(1), n_(1) and l_(2), m_(2), n_(2) are the direction cosines of two vectors and theta is the angle between them, then the value of cos theta is

If (l_(1),m_(1),n_(1)) and (l_(2),m_(2),n_(2)) are the direction cosines of two lines find the direction cosines of the line which is perpendicular to both these lines.

DIPTI PUBLICATION ( AP EAMET)-DIRECTION COSINES AND DIRECTION RATIOS-EXERCISE 1
  1. If the d.r.'s of a line are (3, -4, 12) then d.c.'s of the line are

    Text Solution

    |

  2. The d.c.'s of the line joining the points A(4, 3, 1), B(-2, 1, -2) are

    Text Solution

    |

  3. If (l(1),m(1),n(1)),(l(2),m(2),n(2)) are d.c's of two lines then find ...

    Text Solution

    |

  4. If (2, 1, -1) and (1, -1, -1) are direction ratios of two lines, then ...

    Text Solution

    |

  5. IF the d.r.'s of oversetharr(OA),oversetharr(OB) are (1, -2, -1), (3, ...

    Text Solution

    |

  6. The direction ratios of two lines AB, AC are 1, -1, -1 and 2, -1, 1. T...

    Text Solution

    |

  7. If (a(1), b(1), c(1)), (a(2), b(2), c(2)) are d.r.'s of two perpendicu...

    Text Solution

    |

  8. If (a(1), b(1), c(1)), (a(2), b(2), c(2)) are d.r.'s of two perpendicu...

    Text Solution

    |

  9. If the direction cosines of any two lines are (-2/3, 1/3, 2/3), (3/5, ...

    Text Solution

    |

  10. The angle between the lines whose direction cosines are (sqrt(3)//4, 1...

    Text Solution

    |

  11. If P(2, 3, -6), Q(3, -4, 5) are two points, then anglePOQ is

    Text Solution

    |

  12. If P = (0, 1, 2), Q = (4, -2, 1), O = (0, 0, 0) then anglePOQ=

    Text Solution

    |

  13. The cosine of the angle A of the triangle with vertices A(1, -1, 2), B...

    Text Solution

    |

  14. The angle between the lines passing through the points (8, 2, 0), (4, ...

    Text Solution

    |

  15. The angle between the line passing through the points (3, 1, -2) and (...

    Text Solution

    |

  16. If A(3, 4, 5), B(4, 6, 3), C(-1, 2, 4) and D(1, 0, 5) are such that th...

    Text Solution

    |

  17. If the d.r.'s of two lines are (1, -1, 0) and (1, -2, 1) then the angl...

    Text Solution

    |

  18. If the line joining the points (k, 1, 2), (3, 4, 6) is parallel to the...

    Text Solution

    |

  19. If the line joining the points A(4, 1, 2), B(5, x, 0) is parallel to t...

    Text Solution

    |

  20. If the d.r.'s of two lines are (x, 3, 5) and (2, -1, 2) and if the ang...

    Text Solution

    |