The point of the line x−21=y+3−2=z+5−2 at a distance of 6 from the point (2, - 3, - 5) is
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a
(3, - 5, - 3)
b
(4,-7,-9)
c
(0, 2,- 1)
d
(-3, 5, 3)
answer is B.
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Detailed Solution
Direction cosines of the given line are 13,−23,−23Hence, the equation of line can be a point in the formx−21/3=y+3−2/3=z+5−2/3=rTherefore, any point on the line is 2+r3,−3−2r3,−5−2r3, where r=±6Points are (4, -7, - 9) and (0, 1, -1)