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If the d.c.'s (l, m,n) of two lines are ...

If the d.c.'s (l, m,n) of two lines are connected by the relations `7l^(2)+5m^(2)-3n^(2)=0, l-5m+3n=0` then the d.c.'s of the two lines are

A

`(1//sqrt(6), 1//sqrt(6), -2//sqrt(6)), (1//sqrt(6), -2//sqrt(6), 1//sqrt(6))`

B

`(1//sqrt(14), -2//sqrt(14), 3//sqrt(14)), (1//sqrt(6), 1//sqrt(6), -2//sqrt(6))`

C

`(1//sqrt(14), 2//sqrt(14), 3//sqrt(14)), (-1//sqrt(6), 1//sqrt(6), 2//sqrt(6))`

D

none

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DIPTI PUBLICATION ( AP EAMET)-DIRECTION COSINES AND DIRECTION RATIOS-EXERCISE 1
  1. If the d.c. 's (l, m, n) of two lines are connected by the relations l...

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  2. If the d.c.'s (l, m, n) of two lines are connected by the relations l+...

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  3. If the d.c.'s (l, m,n) of two lines are connected by the relations 7l^...

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  4. If the d.c.'s (l, m, n) of two lines are connected by the relations l+...

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  5. If the d.c.'s (l, m, n) of two lines are connected by the relations 3l...

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  6. The direction ratios of two lines are given by a+b+c=0, 2ab+2ac-bc=0. ...

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  7. If the d.c.'s (l, m, n) of two lines are connected by the relations l+...

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  8. If the direction ratios of two lines are given by l+m+n=0, mn-2n+lm=0,...

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  9. If the direction rations of two lines are given by 3lm-4ln+mn = 0 and ...

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  10. The acute angle between the two lines whose direction ratios are given...

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  11. Find the angle between the lines whose d.c's are related by l + m + n ...

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  12. The angle between the lines whose direction cosines satisfy the equati...

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  13. If the direction cosines of two lines are given by l+m+n=0 " and " l^(...

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  14. If the d.c.'s (l, m, n) of two lines are connected by the relations 2l...

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  15. P.T the smaller angle theta between any two diagonals of a cube is giv...

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  16. The angle between a diagonal of a cube and the diagonal of a face of t...

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  17. If a line makes angles alpha, beta, lambda,delta with the four diagon...

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  18. If (6,-2,-3),(1,2,2) are d.r's of two lines then the d.c's of line bis...

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  19. The projection of the join of the points (3, 4, 2), (5, 1, 8) on the l...

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  20. The projection of the line segment joining the origin and the point P ...

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