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A=[{:(l(1),m(1),n(1)),(l(2),m(2),n(2)),(...

`A=[{:(l_(1),m_(1),n_(1)),(l_(2),m_(2),n_(2)),(l_(3),m_(3),n_(3)):}]` and `B=[{:(p_(1),q_(1),r_(1)),(p_(2),q_(2),r_(2)),(p_(3),q_(3),r_(3)):}]`
Where `p_(i), q_(i),r_(i)` are the co-factors of the elements `l_(i), m_(i), n_(i)` for `i=1,2,3`. If `(l_(1),m_(1),n_(1)),(l_(2),m_(2),n_(2))` and `(l_(3),m_(3),n_(3))` are the direction cosines of three mutually perpendicular lines then `(p_(1),q_(1), r_(1)),(p_(2),q_(2),r_(2))` and `(p_(3),q_(),r_(3))` are

A

the direction cosines of three mutually perpendicular lines

B

the direction ratios of three mutually perpendicular lines which are not direction cosines

C

the direction cosines of three lines which need be perpendicular

D

the direction ratios but not the direction cosines of three lines which need not be perpendicular

Text Solution

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The correct Answer is:
(a)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
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  2. If the three planes rcdotn1=p1, rcdotn2=p2 and rcdotn3=p3 have a commo...

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  3. A pentagon is formed by cutting a triangular corner from a rectangular...

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  4. In a three-dimensional coordinate system, P ,Q ,a n dR are images o...

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  5. A plane 2x+3y+5z=1 has a point P which is at minimum distance from lin...

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  6. Evaluate int x^5 dx

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  7. A cube C={(x, y, z)|o le x, y, zle1} is cut by a sharp knife along the...

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  8. A ray of light is sent through the point P(1,2,3) and is reflected on ...

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  9. Find dy/dx if 2x-3sinx=2y

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  10. The shortest distance between any two opposite edges of the tetrahedro...

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  11. The angle between the pair of planes represented by equation 2x^(2)-2y...

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  12. Find the value of x Equation is x+1=1

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  13. The four lines drawing from the vertices of any tetrahedron to the cen...

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  14. The shorteast distance from (1, 1, 1) to the line of intersection of t...

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  15. The shortest distance between the two lines L1:x=k1, y=k2 and L2: x=k3...

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  16. A=[{:(l(1),m(1),n(1)),(l(2),m(2),n(2)),(l(3),m(3),n(3)):}] and B=[{:(p...

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  17. ABCD is a tetrahedron such that each of the triangleABC, triangleABD a...

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  18. What is 13% Equals to

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  19. A variable plane makes intercepts on X, Y and Z-axes and it makes a t...

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  20. Find the multiplication of 225×0

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