AP EAMCET · PHYSICS · Mathematics in Physics
The magnitudes of two vectors are A and \(\mathrm{B}(\mathrm{A}>\mathrm{B})\). If the maximum resultant magnitude of the two vectors is ' \(n\) ' times their minimum resultant magnitude, then \(\frac{\mathrm{A}}{\mathrm{B}}=\)
- A \(\frac{n}{n-1}\)
- B \(\frac{\mathrm{n}+1}{\mathrm{n}}\)
- C \(\frac{n^2+1}{n-1}\)
- D \(\frac{n+1}{n-1}\)
Answer & Solution
Correct Answer
(D) \(\frac{n+1}{n-1}\)
Step-by-step Solution
Detailed explanation
\(A+B = n(A-B)\) \(A+B = nA-nB\) \(B+nB = nA-A\) \(B(1+n) = A(n-1)\) \(\frac{A}{B} = \frac{n+1}{n-1}\)
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