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Q.

The symmetrical form of the equation of the line  x + y + z - 1=0  and 4x+y−2z+2=0 is

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a

x−12=y+2−1=z−22

b

x+1/21=y−1−2=z−1/21

c

x1=y−2=z−11

d

x+11=y−2−2=z1

answer is Ŋ.

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Detailed Solution

D .R of the line ==i¯j¯k¯11141−2=(−3,6,−3) =(1,−2,1) Let Z = K.  Then x = K -1, y = 2 - 2 K.∴(K−1,2−2k,k) is any point on the lineHence (−12,1,12)  (0,0,1)  (−1,2,0) are points on the line,
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