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Question

Question: If log ![](https://cdn.pureessence.tech/canvas_564.png?top_left_x=0&top_left_y=0&width=248&height=30...

If log , log and log are in AP, where a, b, c are in GP, then a,b,c are the lengths of sides of

A

An isosceles triangle

B

An equilateral triangle

C

A scalene triangle

D

None of these

Answer

None of these

Explanation

Solution

. = (3b5c)2\left( \frac { 3 b } { 5 c } \right) ^ { 2 }

̃ (5c)3 = (3b)3 ̃ 5c = 3b ̃ b2 = ac

̃ 9b2 = 9ac ̃ 25c2 = 9ac

a : b : c = 5 : 3 : 9/5 ̃ b + c < a ̃ NoD