Area of the parallelogram formed by the lines \[{{a}_{1}}x+{{b}_{1}}y+{{c}_{1}}=0\],\[{{a}_{1}}x+{{b}_{1}}y+{{d}_{1}}=0\]and \[{{a}_{2}}x+{{b}_{2}}y+{{c}_{2}}=0\], \[{{a}_{2}}x+{{b}_{2}}y+{{d}_{2}}=0\]is

\[\frac{({{d}_{1}}-{{c}_{1}})({{d}_{2}}-{{c}_{2}})}{{{[(a_{1}^{2}+b_{1}^{2})(a_{2}^{2}+b_{2}^{2})]}^{1/2}}}\]

\[\frac{({{d}_{1}}-{{c}_{1}})({{d}_{2}}-{{c}_{2}})}{{{a}_{1}}{{a}_{2}}-{{b}_{1}}{{b}_{2}}}\]

\[\frac{({{d}_{1}}+{{c}_{1}})({{d}_{2}}+{{c}_{2}})}{{{a}_{1}}{{a}_{2}}+{{b}_{1}}{{b}_{2}}}\]

\[\frac{({{d}_{1}}-{{c}_{1}})({{d}_{2}}-{{c}_{2}})}{{{a}_{1}}{{b}_{2}}-{{a}_{2}}{{b}_{1}}}\]

Area of the parallelogram formed by the lines \[{{a}_{1}}x+{{b}_{1}}y+

1.	Area of the parallelogram formed by the lines \[{{a}_{1}}x+{{b}_{1}}y+{{c}_{1}}=0\],\[{{a}_{1}}x+{{b}_{1}}y+{{d}_{1}}=0\]and \[{{a}_{2}}x+{{b}_{2}}y+{{c}_{2}}=0\], \[{{a}_{2}}x+{{b}_{2}}y+{{d}_{2}}=0\]is
A.	\[\frac{({{d}_{1}}-{{c}_{1}})({{d}_{2}}-{{c}_{2}})}{{{[(a_{1}^{2}+b_{1}^{2})(a_{2}^{2}+b_{2}^{2})]}^{1/2}}}\]
B.	\[\frac{({{d}_{1}}-{{c}_{1}})({{d}_{2}}-{{c}_{2}})}{{{a}_{1}}{{a}_{2}}-{{b}_{1}}{{b}_{2}}}\]
C.	\[\frac{({{d}_{1}}+{{c}_{1}})({{d}_{2}}+{{c}_{2}})}{{{a}_{1}}{{a}_{2}}+{{b}_{1}}{{b}_{2}}}\]
D.	\[\frac{({{d}_{1}}-{{c}_{1}})({{d}_{2}}-{{c}_{2}})}{{{a}_{1}}{{b}_{2}}-{{a}_{2}}{{b}_{1}}}\]
Answer» E.

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Area of the parallelogram formed by the lines \[{{a}_{1}}x+{{b}_{1}}y+{{c}_{1}}=0\],\[{{a}_{1}}x+{{b}_{1}}y+{{d}_{1}}=0\]and \[{{a}_{2}}x+{{b}_{2}}y+{{c}_{2}}=0\], \[{{a}_{2}}x+{{b}_{2}}y+{{d}_{2}}=0\]is

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