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  2. The plane passing through thr points (1,2,1), (2,1,2) and parallel to the line, also passes through the point: Option: 1
# Engineering

The plane passing through thr points (1,2,1), (2,1,2) and parallel to the line, 2x=3y,z=1 also passes through the point:
Option: 1 (0,6,-2)
 
Option: 2 (-2,0,1)
Option: 3 (0,-6,2)  
Option: 4 (2,0,-1)

Answers (1)
H Himanshu Meshram

Two points on the line (L) 

\frac{x}{3}=\frac{y}{2}, z=1 \text { are }(0,0,1)\; \&\;(3,2,1)

So dr's of the line is ( 3, 2, 0 )

Line passing through (1, 2, 1), parallel to L and coplanar with given plane is

\overrightarrow{\mathrm{r}}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+\hat{\mathrm{k}}+\mathrm{t}(3 \hat{\mathrm{i}}+2 \mathrm{j}), \mathrm{t} \in \mathrm{R}(-2,0,1) satisfies the line (for t = –1)

(–2, 0, 1) lies on a given plane.

 

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