JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumVector Algebra184× since 2002Let the vectors aaa and bbb be of the same magnitude such that ∣a+b∣+∣a−b∣∣a+b∣−∣a−b∣=2+1\frac{\lvert a + b\rvert + \lvert a - b\rvert}{\lvert a + b\rvert - \lvert a - b\rvert} = \sqrt{2} + 1∣a+b∣−∣a−b∣∣a+b∣+∣a−b∣=2+1. Then ∣a+b∣2∣a∣2\frac{\lvert a + b\rvert^2}{\lvert a\rvert^2}∣a∣2∣a+b∣2 is:AOption A. 2+422 + 4\sqrt{2}2+42BOption B. 1+21 + \sqrt{2}1+2COption C. 2+22 + \sqrt{2}2+2DOption D. 4+224 + 2\sqrt{2}4+22CheckSkip · show solution
