Find the equation of the plane passing through the line of intersection of the planes \overrightarrow{r} \cdot(\stackrel{\^}{i}+\stackrel{\^}{j}+\stackrel{\^}{k})=10 and \overrightarrow{r} \cdot(2 \stackrel{\^}{i}+3 \stackrel{\^}{j}-\stackrel{\^}{k})+4=0 and passing through the point (-2,3,1).

CBSE Class 12 Math 2022 (Term II) Delhi Set 1 Solved Paper

Question : 9 of 14

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Find the equation of the plane passing through the line of intersection of the planes

{r}↖{→} ⋅({i}↖{\^}+{j}↖{\^}+{k}↖{\^})=10

and

{r}↖{→} ⋅(2 {i}↖{\^}+3 {j}↖{\^}-{k}↖{\^})+4=0

and passing through the point

(-2,3,1)

Solution:

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