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Q:-The non zero value of 'a' for which the lines 2x-y+3z+4=0=ax+y-z+2 and x-3y+z=0=x+2y+z+1 are coplanar is: A. -2 B. 4 C. 6 D. 0

Q:-The non zero value of 'a' for which the lines 2x-y+3z+4=0=ax+y-z+2 and x-3y+z=0=x+2y+z+1 are coplanar is:


A. -2


B. 4


C. 6


D. 0

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear Tapasranjan

2x-y+3z+4=0=ax+y-z+2 and x-3y+z=0=x+2y+z+1 are coplanar

then point of intersection of line must satisfy all the 4 plane

solve plane

2x-y+3z+4=0

 x-3y+z=0

x+2y+z+1 =0

  x= 12/5

y = -1/5

z= -3

this point also satisfied by

ax-y+z+2=0

put value and find a

a=-2

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