Question:
If \[ \left( \frac{a}{b} \right)^2 + \left( \frac{b}{a} \right)^2 = 676, \quad \left| \mathbf{b} \right| = 2, \quad \text{then} \left| \mathbf{a} \right| \(\text{ is equal to:}\)
If \[ \left( \frac{a}{b} \right)^2 + \left( \frac{b}{a} \right)^2 = 676, \quad \left| \mathbf{b} \right| = 2, \quad \text{then} \left| \mathbf{a} \right| \(\text{ is equal to:}\)
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Use algebraic manipulation to simplify equations involving absolute values and ratios.
Updated On: Jan 12, 2026
- 13
- 26
- 39
- None of these
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The Correct Option is B
Solution and Explanation
By substituting the given values and simplifying the equation, we can find the value of \( \left| \mathbf{a} \right| \).
Final Answer: \[ \boxed{26} \]
Final Answer: \[ \boxed{26} \]
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