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JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Analyzing +4 | -1
Let x=a+2ba+bx = \frac{{a + 2b}}{{a + b}} and y=ab,y = \frac{a}{b}, wherer aa and bb are positive integers. If y2>2,{y^2} > 2, then
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Correct option: B
x2<2{x^2} < 2
Option B (x2<2{x^2} < 2) is correct because substituting y = a/b into the equation for x and using the given condition y2>2{y^2} > 2 leads to x2<2{x^2} < 2.

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