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Vector Algebra question

2025 · 7 Apr · Shift 2 · Q41

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JEE Main
Mathematics
Vector Algebra
2025 · 7 Apr · Shift 2 · Q41

Vector Algebra question

2025 · 7 Apr · Shift 2 · Q41

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\vec{a}

and

\vec{b}

be the vectors of the same magnitude such that

\frac{|\vec{a} + \vec{b}| + |\vec{a} - \vec{b}|}{|\vec{a} + \vec{b}| - |\vec{a} - \vec{b}|} = \sqrt{2} + 1.

Then

\frac{|\vec{a} + \vec{b}|^2}{|\vec{a}|^2}

is :

A
2 + $\sqrt{2}$
B
2 + 4 $\sqrt{2}$
C
4 + 2 $\sqrt{2}$
D
1 + $\sqrt{2}$

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