WBJEE · Maths · Sequences and Series
If \(a, b, c\) are in G. P. and \(\log a .-\log 2 b, \log 2 b-\log 3 c, \log 3 c-\log a\) are in A. P., then \(a, b, c\) are the lengths of the sides of a triangle which is
- A acute angled
- B obtuse angled
- C right angled
- D equilateral
Answer & Solution
Correct Answer
(B) obtuse angled
Step-by-step Solution
Detailed explanation
\[ \because 2 \log \frac{2 b}{3 c}=\log \frac{a}{2 b}+\log \frac{3 c}{a} \Rightarrow \frac{4 b^2}{9 c^2}=\frac{3 c}{2 b} \Rightarrow 2 b=3 c \Rightarrow \frac{c}{b}=\frac{2}{3} \text { (common ratio) } \] \(\therefore\) Sides are a,…
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