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The image of the point (1, 2, 3) in the ...

The image of the point (1, 2, 3) in the line `barr = (6, 7, 7) + k (3, 2,-2), k epsilon R is (5, 8, a)` then a = ….............

A

8

B

9

C

`-15`

D

15

Text Solution

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The correct Answer is:
D
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If the vector equation of the line is barr = (1, -5,9) + k(2, 2, -1), k epsilon R then its cartesian equation is .........

The angle between the lines barr = (4, -3, 2) + k(2, 1, 2), k epsilon R and barr= (2, 0, 5) + k(6, 3, 2), k epsilon R is .......

If the line bar r = (5,5,2) + k (3,6,9) k in R and bar = (0,3,-1) + k (1,2,b), k in R are parallel then b = ...... .

The distance of the point P(1,2,3) from the line (x-6)/(3) = (y-7)/(2) = (z-7)/(-2) is......

The lines bar r = (-1,2,5) + k (-1,2,5), k in R and bar r = (-3,1,5) + k (-3,1,5), k in R ...........

The image of the point (1,6,3) with respect to the line (x)/(1) = (y-1)/(2) = (z-2)/(3) is......

Find the image of the point (3, 5, 3) with respect to the line x/1=(y-1)/(2)=(z-2)/(3)

If the lines barr = (2, -3, 7) + k(2, a, 5), k epsilon R and barr = (1, 2, 3) + k(3, -a, a), k epsilon R are perpendicular to each other then a = ......

The angle between the lines bar = (-3,5,-1) + k(1,2,1), k in R and bar r = (1,3,-2) + k (6,-3,0), k in R is ....

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The lines x=(y-1)/(1)=(z+1)/(3) and {(2,1+3k,2+k)//k epsilon R} are …....

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  2. The perpendicular distance of the point (3, -4, -5) from the line (x-2...

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  3. The image of the point (1, 2, 3) in the line barr = (6, 7, 7) + k (3, ...

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  4. If the line bar r = (5,5,2) + k (3,6,9) k in R and bar = (0,3,-1) + ...

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  5. The angle between the lines bar = (-3,5,-1) + k(1,2,1), k in R and bar...

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  6. The angle between the lines whose direction cosines are given by l + ...

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  7. The cartesian equation of the line passing through (2,2,-3) and (1,3,5...

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  8. The equation of the line passes through (2,-3,5) and makes equal with ...

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  9. The angle between the lines whose direction cosines are l, m, n and m-...

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  10. The vector equation of the line (3-x)/(3) = (2y - 3)/(5) = z/2 is .......

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  11. The lines bar r = (-1,2,5) + k (-1,2,5), k in R and bar r = (-3,1,5) ...

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  12. The vector equation of the line joining the pionts hat(i) - 2hat (j)+ ...

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  13. If bar = hat i + hat j and bar b = 2 hat i - hat k then the intersect...

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  14. The co-ordinats of a point on the line passing through the pionts (1,-...

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  15. The equation of the line passing through hat i + 3 hat j + 2 hat k a...

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  16. The shortest distance of the lines bar r1 = 4 hat i -3 hat j - hat k +...

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  17. The direction cosines of the line drawn from P(-5,3,1) and Q(1,5,-2) i...

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  18. The angle between the two diagonals of a cube is .....

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  19. The angle between the two diagonals of a cube is .....

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  20. A line makes the angle alpha, beta , gamma and delta with the diagonal...

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