A) \[{{a}_{1}}{{b}_{1}}+{{a}_{2}}{{b}_{2}}=0\]
B) \[{{a}_{1}}{{a}_{2}}-{{b}_{1}}{{b}_{2}}=0\]
C) \[{{a}_{1}}{{b}_{2}}+{{a}_{2}}{{b}_{1}}=0\]
D) \[{{a}_{1}}{{a}_{2}}+{{b}_{1}}{{b}_{2}}=0\]
Correct Answer: D
Solution :
The given straight lines are perpendicular to each other, if \[\left( -\frac{{{a}_{1}}}{{{b}_{1}}} \right)\times \left( -\frac{{{a}_{2}}}{{{b}_{2}}} \right)=-1\] or \[\frac{{{a}_{1}}}{{{b}_{1}}}\frac{{{a}_{2}}}{{{b}_{2}}}=-1\] or \[{{a}_{1}}{{a}_{2}}+{{b}_{1}}{{b}_{2}}=0\]
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