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MCQMediumJEE Main 2025 · 7 April, Shift 2Basics of Vectors

Mathematics Question from JEE Main 2025 · 7 April, Shift 2

Let a⃗\vec{a} and b⃗\vec{b} be the vectors of the same magnitude such that ∣a⃗+b⃗∣+∣a⃗−b⃗∣∣a⃗+b⃗∣−∣a⃗−b⃗∣=2+1.\frac{| \vec{a} + \vec{b} | + | \vec{a} - \vec{b} |}{| \vec{a} + \vec{b} | - | \vec{a} - \vec{b} |} = \sqrt{2} + 1. Then ∣a⃗+b⃗∣2∣a⃗∣2\frac{| \vec{a} + \vec{b} |^2}{| \vec{a} |^2} is:

  • A

    2+422 + 4\sqrt{2}

  • B

    1+21 + \sqrt{2}

  • C

    2+22 + \sqrt{2}

  • D

    4+224 + 2\sqrt{2}

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