Home
Class 12
MATHS
Given P = (3,-6,10)and PQ = sqrt(17) . I...

Given `P = (3,-6,10)and PQ = sqrt(17)` . If direction cosines of line PQ are ` (-2)/(sqrt(17)),3/(sqrt(17)),(-2)/(sqrt(17))` , then point Q can be

A

`(5,12,-19)`

B

`(1,-3,8)`

C

`(-9,5,12)`

D

`(-2,3,-2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos

  • PLANE IN SPACE

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP- CHAPTERS 6,7,22|1 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP: CHAPTER 3-3.3|13 Videos

Similar Questions

Explore conceptually related problems

Can the direction cosines of a line be 1/sqrt2 , 1/sqrt2, 1/sqrt2 ?

Comparison of ratios (sqrt(13))/(sqrt(8)),(sqrt(17))/(sqrt(15))

The value of log_(2)(sqrt(17+2sqrt(6))-sqrt(7-2sqrt(6))) is equal to

If a=sqrt(17)-sqrt(16) and b=sqrt(16)-sqrt(15) then

The projections of the segment PQ on the coordinate axes are -9,12,-8 respectively. The direction cosines of the line PQ are (A) -9/sqrt(17),12/sqrt(17),-8/sqrt(17) (B) -9/288,12/289,-8/289 (C) -9/17,12/17,-8/17 (D) none of these

(22) / (2sqrt (3) +1) + (17) / (2sqrt (3) -1)

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

MARVEL PUBLICATION-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS
  1. Direction cosines of the line passing through A(2,3,-1)and B(-3,-4,2) ...

    Text Solution

    |

  2. Find the value of p for which the line through the points A(4, 1, 2) a...

    Text Solution

    |

  3. Given P = (3,-6,10)and PQ = sqrt(17) . If direction cosines of line PQ...

    Text Solution

    |

  4. If l,m,n are direction cosines of a line , then vector li +mj+nk is a

    Text Solution

    |

  5. If |bar(u)| = sqrt(3) and bar(u) is equally inclined to co - ordinate...

    Text Solution

    |

  6. If |bar(u)|=2 and bar(u) makes angles of 60^(@) and 120^(@) with OX a...

    Text Solution

    |

  7. If a line makes angles theta(1), theta(2), theta(3) with the coordinat...

    Text Solution

    |

  8. Find the angle between the lines whose direction ratios are: 2,-3,4 ...

    Text Solution

    |

  9. If bar(a),bar(b),bar (c ) are pair wise mutually perpendicular vectors...

    Text Solution

    |

  10. If direction ratios of two lines are 2,-6,-3 and 4,3,-1 then directi...

    Text Solution

    |

  11. A line makes 45^(@) with OX and equal angles with OY and OZ .Then the ...

    Text Solution

    |

  12. What is the angle between the two lines whose direction numbers are (s...

    Text Solution

    |

  13. If the line of the vector bar (r ) = lambda I + 2j - k makes angles a...

    Text Solution

    |

  14. The number of lines which are equally inclined to the axes is :

    Text Solution

    |

  15. The projection of the line segment joining the points A(-1,0,3) and B(...

    Text Solution

    |

  16. Direction Cosines of a normal to the XOY - plane are

    Text Solution

    |

  17. If the direction cosines of a line are 1/c,1/c,1/c rthen (A) c.0 (B) 0...

    Text Solution

    |

  18. A mirror and a source of light are situated at the origin O and at a...

    Text Solution

    |

  19. The direction Cosines of two lines at right angles are l(1),m(1),n(1)a...

    Text Solution

    |

  20. The graph of the equation x^2+y^2=0 in the three dimensional space is ...

    Text Solution

    |