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If A(3, 5, -4), B(-1, 1, 2) and C(-5, -5...

If A(3, 5, -4), B(-1, 1, 2) and C(-5, -5, -2) are the vertices of `Delta` ABC, then the direction cosines of side AC are

A

`(2)/(sqrt(17)), (2)/(sqrt(17)), (-3)/(sqrt(17))`

B

`(2)/(sqrt(17)),(3)/(sqrt(17)),(2)/(sqrt(17))`

C

`(4)/(sqrt(42)), (5)/(sqrt(42)), (-1)/(sqrt(42))`

D

`(-4)/(sqrt(17)), (-5)/(sqrt(17)), (1)/(sqrt(17))`

Text Solution

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The correct Answer is:
C
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NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. If A(3, 5, -4), B(-1, 1, 2) and C(-5, -5, -2) are the vertices of Delt...

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  2. If A(3, 5, -4), B(-1, 1, 2) and C(-5, -5, -2) are the vertices of Delt...

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  3. If A(3, 5, -4), B(-1, 1, 2) and C(-5, -5, -2) are the vertices of Delt...

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  4. If A(3, 5, -4), B(-1, 1, 2) and C(-5, -5, -2) are the vertices of Delt...

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  5. Which of the following is true ?

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  6. Which of the following represents direction consines of the line ?

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  7. Which of the triplet can not represent direction cosines of a line ?

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  8. If P-=(3, 4, -12), then the direction cosines of bar(OP) are

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  9. The direction cosine of vector 3 hati+4hatj+5hatk in the direction of...

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  10. If the vector 2 hati-3hatj+7 hatk makes angles alpha, beta, gamma with...

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  11. The position vectors of points A and B are hati+3hatj-7 hatk and 5hati...

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  12. The direction cosines of a line parallel to the line (x+1)/(2)=(y)/(-...

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

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  14. If the line segment joining the points A(7, p, 2) and B(q, -2, 5) be ...

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  15. The line joining the points (4, 1, 2) and (5, p, 0) is parallel to the...

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  16. If A(-1, 2, -3), B(5, 0, -6) and C(0, 4, -1) are the vertices of tria...

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  17. A line passes through the points (3, 1, 2) and (5, -1, 1) . Then the ...

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  18. A line passes through the point (3, 1,2) and (5,-1,1), find the direct...

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  19. Direction cosines of the line passing through the points A(-4, 2, 3) a...

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  20. Direction cosines of the line passing through the points A(-4, 2, 3) a...

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