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If A(1, 2, 3), B(4, 5, 6) are two points...

If A(1, 2, 3), B(4, 5, 6) are two points, then the foot of the perpendicular from point B to the line joining the origin and point A is

A

`((8)/(7), (16)/(7), (24)/(7))`

B

`((16)/(7), (32)/(7), (48)/(7))`

C

`((1)/(7), (2)/(7), (3)/(7))`

D

`((4)/(7), (8)/(7), (12)/(7))`

Text Solution

Verified by Experts

The correct Answer is:
B
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NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. If a line drawn from point (2, 4, 3) is perpendicular to the line join...

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  2. If a line drawn from point (4, 3, 2) is perpendicular to the line join...

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  3. If A(1, 2, 3), B(4, 5, 6) are two points, then the foot of the perpend...

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  4. If the line with direction ratios 2, -1, 2 is perpendicular to the lin...

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  5. If the line with direction ratios 5, 3k, 7 is perpendicular to the lin...

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  6. If the line with direction ratios k, -4, -1 is perpendicular to the li...

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  7. If a line passing through (4, 1, 2) and (5, k, 0) is perpendicular to ...

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  8. Find the measure of a acute angle between the line direction ratios ar...

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  9. Find the angles between the line whose direction ratios are 4, -3, 5 a...

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  10. The acute angle between the lines whose direction ratios are 3, 2, 6 a...

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  11. The acute angle between the lines whose direction ratios are 1, 2, 2 a...

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  12. The acute angle between the lines whose direction ratios are 1, 1, 2 a...

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  13. An angle between the lines whose direction number are 1, -2, 1 and -6,...

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  14. If the angle between the lines with direction ratios a, 3, 5 and 2, -1...

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  15. If the angle between the vectors bar a and bar b having direction rat...

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  16. If the angle between the lines with direction ratios 2, -1, 1 and 1, k...

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  17. The two values of k for which the lines with direction ratios k, -6, ...

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  18. If the cosine of the angle between the lines with direction ratios 1, ...

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  19. The acute angle between the lines joining points (2, 1, 3) and (1, -1,...

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  20. If A-=(3,4-2),B-=(1,-1,2),C-=(0,3,2) and D-=(3,5,6), then the angle be...

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