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If the direction cosine of a line are < ...

If the direction cosine of a line are < k,k,k >, then,

A

`kgt0`

B

`0ltklt1`

C

k=1

D

`k=(1)/(sqrt3)` or `-(1)/(sqrt3)`

Text Solution

Verified by Experts

The correct Answer is:
D
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ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 1 MARK (TYPE-I: MULTIPLE CHOICE QUESTIONS )
  1. Direction ratios of line given by line (x-1)/3=(2y+6)/12=(1-z)/-7 are...

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  2. Direction ratio of line given by (x-1)/3=(6-2y)/10=(1-z)/-7 are :

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  3. The equation of line is (2x-5)/4=(y+4)/3=(6-z)/6 then the d.c.'s ofli...

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  4. Direction ratios of normal to plane which is parallel to the plane 3x ...

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  5. The distance between the planes, 3x+ 2y-6z-14=0 and 3x+ 2y-6z+21 =0 is...

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  6. The distance between the planes, 3x+ 2y-6z-14=0 and 3x+ 2y-6z+21 =0 is...

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  7. Distance between the two planes: 2x+3y+4z=4 and 4x+6y+8z = 12 is:

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  8. The planes 2x - y + 4z = 5 and 5x - 2.5y + 10z = 6 are :

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  9. The co-ordinates of foot of the perpendicular drawn from the point (2,...

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  10. P is a point on the line segment joining the points (3, 2, -1) and (6,...

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  11. If alpha, beta, gamma are the angles that a line makes with the positi...

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  12. The distance of a point P(a, b, c) from z-axis is

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  13. The equation of x-axis is of the form

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  14. If a line makes equal angles with coordinates axes its direction - cos...

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  15. Distance of the point (alpha, beta,gamma) from y-axis is

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  16. If the direction cosine of a line are < k,k,k >, then,

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  17. The distance of the plane vec(r) .(2 hat(i) + 3 hat(j) - 6 hat(k)) = 7...

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  18. The reflection of the point (alpha,beta,gamma) in the xy-plane is:

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  19. The area of the quadrilateral ABCD, where A 0,4, 1), B (2, 3, -1), C (...

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  20. The locus represented by x y + yz=0 is

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