WBJEE · Maths · Sequences and Series
Three unequal positive numbers a, b, c are such that a, b, c are in G.P. while \(\log \left(\frac{5 c}{2 a}\right), \log \left(\frac{7 b}{5 c}\right), \log \left(\frac{2 a}{7 b}\right)\) are in A.P. Then \(\mathrm{a}, \mathrm{b}, \mathrm{c}\) are the lengths of the sides of
- A an isosceles triangle
- B an equilateral triangle
- C a scalene triangle
- D a right-angled triangle
Answer & Solution
Correct Answer
(C) a scalene triangle
Step-by-step Solution
Detailed explanation
\(\log \frac{5 c}{2 a}+\log \frac{2 a}{7 b}=2 \log \frac{7 b}{5 c} \Rightarrow \log \frac{5 c}{7 b}=\log \frac{49 b^{2}}{25 c^{2}}\)…
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