Subject

    Quantitative Aptitude

    Topic

    Solution

    Find the value of x; [1 - {√(1 - x)}]/[1 + {√(1 - x)}] = 1/3

    ক)
    1/4
    খ)
    1/2
    গ)
    3/4
    ঘ)
    3/3

    Explanation

    [1 - √(1 - x)]/[1 + √(1 - x)] = 1/3 ⇒ (1 - t)/(1 + t) = 1/3 [√(1 - x) = t ধরে] ⇒ 3(1 - t) = 1(1 + t) ⇒ 3 - 3t = 1 + t ⇒ 3 - 1 = t + 3t ⇒ 2 = 4t ⇒ t = 1/2 ⇒ √(1 - x) = 1/2 ⇒ 1 - x = (1/2)² ⇒ 1 - x = 1/4 ⇒ x = 1 - 1/4 ⇒ x = 3/4

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