A) \[x=-{{a}^{2}}\]
B) \[x={{a}^{2}}\]
C) \[x=-a\]
D) \[x=\frac{a}{3}\]
E) \[x=-\frac{a}{3}\]
Correct Answer: D
Solution :
Area of\[\Delta ABC={{a}^{2}}\] \[\Rightarrow \] \[\frac{1}{2}(a-x)3a={{a}^{2}}\] \[\Rightarrow \] \[a-x=\frac{2}{3}a\] \[\Rightarrow \] \[x=\frac{a}{3}\] Hence, one of the line on which third vertex lies is\[x=\frac{a}{3}\].You need to login to perform this action.
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