JEE MATHEMATICS MCQ: THEORY OF EQUATION

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Application +4 | -1

{\alpha _1},\;{\alpha _2},\;{\alpha _3},\;{\alpha _4}

are the roots of the equation

{x^4} + \left( {2 - \sqrt 3 } \right){x^2} + 2 + \sqrt 3 = 0

, then the value of

\left( {1 - {\alpha _1}} \right)\left( {1 - {\alpha _2}} \right)\left( {1 - {\alpha _3}} \right)\left( {1 - {\alpha _4}} \right)

View answer and explanation

Correct option: D

Option D (5) is correct because using Vieta's formulas and substituting into the expression yields 5.

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