C-11-Q132mediumsingle_mcq

Solve $\dfrac{1 - \sqrt{1-x}}{1 + \sqrt{1-x}} = \dfrac{1}{3}$ . The value of $x$ is—

Cross-multiplying gives $3\big(1-\sqrt{1-x}\big) = 1+\sqrt{1-x}$ , so . Squaring, , hence .

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1

\dfrac{1}{4}

1−x

\sqrt{1-x} = \dfrac{1}{2}

1-x = \dfrac{1}{4}

x = \dfrac{3}{4}