AP EAMCET · Maths · Binomial Theorem
In the binomial expansion of \((p-q)^{14}\), if the sum of \(7^{\text {th }}\) term and \(8^{\text {th }}\) term is zero, then \(\frac{p+q}{p-q}=\)
- A \(14\)
- B \(15\)
- C \(16\)
- D \(13\)
Answer & Solution
Correct Answer
(B) \(15\)
Step-by-step Solution
Detailed explanation
\(\binom{14}{6} p^8 (-q)^6 + \binom{14}{7} p^7 (-q)^7 = 0\) \(\binom{14}{6} p^8 q^6 - \binom{14}{7} p^7 q^7 = 0\) \(\binom{14}{6} p = \binom{14}{7} q\) \(\binom{14}{6} p = \left(\frac{14-7+1}{7}\right) \binom{14}{6} q\) \(p = \frac{8}{7} q\)…
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