A) 0
B) 2
C) 1
D) 3
E) 4
Correct Answer: A
Solution :
Since, given planes\[\overrightarrow{r}.(2\hat{i}-\lambda \hat{j}+3\hat{k})=0\]and\[\overrightarrow{r}.(\lambda \hat{i}+5\hat{j}-\hat{k})=5\]are perpendicular. \[\therefore \] \[2(\lambda )-\lambda (5)+3(-1)=0\] \[\Rightarrow \] \[-3\lambda -3=0\Rightarrow \lambda =-1\] \[\therefore \] \[{{\lambda }^{2}}+\lambda ={{(-1)}^{2}}-1\] \[=0\]You need to login to perform this action.
You will be redirected in
3 sec