The equation of straight line parallel to 2i¯−j¯+3k¯ and passing through the point (5,-2,4) is
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a
x−52=y+2−1=z−34
b
x+52=y+2−1=z−43
c
x−52=y+2−1=z−43
d
x−5−1=y−22=z−43
answer is C.
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Detailed Solution
The equation of a straight line passing through the point (x1,y1,z1) and having direction ratios proportional to ⟨a,b,c⟩ is x−x1a=y−y1b=z−z1cThe equation of straight line parallel to 2i¯−j¯+3k¯ and passing through the point (5,-2,4) is x−52=y+2−1=z−43