A real value of x will satisfy the equation \[\left( \frac{3-4ix}{3+4ix} \right)=\] \[\alpha -i\beta \,(\alpha ,\beta \,\text{real),}\] if [Orissa JEE 2003]

\[{{\alpha }^{2}}-{{\beta }^{2}}=2\]

\[{{\alpha }^{2}}-{{\beta }^{2}}=-1\]

\[{{\alpha }^{2}}-{{\beta }^{2}}=1\]

\[{{\alpha }^{2}}+{{\beta }^{2}}=1\]

A real value of x will satisfy the equation \[\left( \frac{3-4ix}{3+4i

1.	A real value of x will satisfy the equation \[\left( \frac{3-4ix}{3+4ix} \right)=\] \[\alpha -i\beta \,(\alpha ,\beta \,\text{real),}\] if [Orissa JEE 2003]
A.	\[{{\alpha }^{2}}-{{\beta }^{2}}=-1\]
B.	\[{{\alpha }^{2}}-{{\beta }^{2}}=1\]
C.	\[{{\alpha }^{2}}+{{\beta }^{2}}=1\]
D.	\[{{\alpha }^{2}}-{{\beta }^{2}}=2\]
Answer» D. \[{{\alpha }^{2}}-{{\beta }^{2}}=2\]

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A real value of x will satisfy the equation \[\left( \frac{3-4ix}{3+4ix} \right)=\] \[\alpha -i\beta \,(\alpha ,\beta \,\text{real),}\] if [Orissa JEE 2003]

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