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If (l(1),m(1),n1),(l(2),m(2),n(2)) are d...

If `(l_(1),m_(1),n_1),(l_(2),m_(2),n_(2))` are d.c.s of two intersecting lines, show that d.c.s of two lines bisecting the angles between them are proportional to `l_(1)+l_(2),m_(1)+m_(2),n_(1)+n_(2).`

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The correct Answer is:
D.Rs of OQ are `l_(1)-l_(2) ,m_(1)-m_(2),n_(1)-n_(2)`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DIRECTION COSINES AND DIRECTION RATIOS -TEXTUAL EXERCISE -6(B)
  1. The direction ratios of a line are (-6,2,3) Find its direction cosines...

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  2. Find the conine of the angle between the lines whose direction cosines...

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  3. Find the angle between the lines whose direction ratios are (1,1,2)(sq...

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  4. Show that the lines with direction cosines ((12)/(13),(-3)/(13),(-4)/(...

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  5. O is the origin, P(2,3,4) and Q(1,k,1) are points such that bar(OP)bot...

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  6. If the direction ratios of a line are (3,4,0) find its direction cosin...

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  7. Show that the line through the points (1,-1,2), (3,4,-2) is perpendicu...

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  8. Find the angle between bar(DC) and bar(AB) where A = (3,4,5), B = (4,6...

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  9. Find the direciton cosines of a line which is perpendicular to the li...

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  10. Show that the points (2,3,-4), (1,-2,3) and (3,8,-11) are collinear.

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  11. Show that the points (4,7,8), (2,3,4) and (-1,-2,1),(1,2,5) are vertic...

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  12. Show that the lines whose direction cosines are given by l+m+n=0, 2mn...

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  13. Find the angle between the lines whose direction cosines satisfy the e...

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

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  15. If (l(1),m(1),n1),(l(2),m(2),n(2)) are d.c.s of two intersecting lines...

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  16. A (-1,2-3), B(5,0,-6), C(0,4,-1) are three points, Show that direction...

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  17. If (6,10,10),(1,0,-5), (6,-10,0) are vertices of a triangle, find the ...

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  18. If the vertices of a triangle are A(1,4,2), B(-2,1,2),C(2,3,-4) then f...

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  19. Find the angle between the lines whose direction cosines are given by ...

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  20. If a variable line in two adjacent positions has direction cosines (l,...

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