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If (l(1),m(1),n(1)),(l(2),m(2),n(2)) are...

If `(l_(1),m_(1),n_(1)),(l_(2),m_(2),n_(2))` are d.c's of two lines then find the value of `(l_(1)m_(2)-l_(2)m_(1))^(2)+(m_(1)n_(2)-n_(1)m_(2))^(2)+(n_(1)l_(2)-n_(2)l_(1))^(2)+(l_(1)l_(2)+m_(1)m_(2)+n_(1)n_(2))^(2)`

A

I,II

B

II,III

C

I,III

D

all the three

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AAKASH SERIES-DIRECTION COSINES & RATIOS-EXERCISE - II
  1. A line passes through the points (6,-7,-1) and (2,-3,1). The d.c's of ...

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  2. If the angle between the lines whose direcrtion cosines are (-(2)/(sqr...

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  3. Any point on a line has the coordinates (r+1, r-3, rsqrt(2)+4) where r...

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  4. If (l(1),m(1),n(1)),(l(2),m(2),n(2)) are d.c's of two lines then find ...

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  5. If the vertices of a triangle are (1,4,2),(-2,1,2),(2,3,-4) then the a...

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  6. The angle between the lines joining the points (1,1,0), (-3, sqrt(3) +...

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  7. If (a(1),b(1),c(1)),(a(2),b(2),c(2)) are direction ratio of two lines ...

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  8. The angle between any two diagonals of a cube is

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  9. In a unit cube. Find The angle between a diagonal of a cube and the di...

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  10. Angle between a diagonal of a cube with edge of lenth 1 is

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

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  12. If a line makes angles alpha,beta,lambda,delta with the 4 diagonals of...

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  13. If the edges of rectangular parllelopiped are 3,2,1 then the angle bet...

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  14. If (l(1),m(1),n(1)),(l(2),m(2),n(2)) are d.c's of two lines whose angl...

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  15. If the d.r.s of the two lines are 1,1,2, -1,2,1 then d.c.s of a line w...

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  16. If the d.r.s of OA, OB are (1,1,-1),(1-2,1) then the d.c.s of the norm...

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  17. If (1,2,1), (1,-3,2) are the direction ratios of two lines and (l, m,n...

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  18. If the d.r's of the lines are 2,1,-2 and 3,-2,6 then the d.r,s of the ...

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