A) 4
B) 3
C) - 3
D) - 4
Correct Answer: D
Solution :
\[\overrightarrow{\alpha }\,\,=\,\mu \overrightarrow{\beta }\] \[\text{(}\lambda \,\text{-}\,\text{2)}\,\overrightarrow{\text{a}}\text{+}\overrightarrow{\text{b}}\,\,=\,\mu [(4\lambda -2)\,\overrightarrow{a}\,+\,3\overrightarrow{b}]\,\] \[\lambda \,\text{-}\,\text{2}\,\,\text{=}\,\,\mu (4\lambda -2)\,\,\] \[\Rightarrow \,\,1\,\,=\,\,3\mu \] \[\Rightarrow \,\,\,\mu \,\,=\,\,\frac{1}{3}\] \[\Rightarrow \,\,\,\lambda -2=\frac{1}{3}(4\lambda -2)\] \[\Rightarrow \,\,\,3\lambda -6=\,\,4\lambda -2\] \[\Rightarrow \,\,\,\,-\lambda =4\]You need to login to perform this action.
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