The position vectors of three points A, B and C are a, b and c respectively such that 3 a-4 b+ c= 0. What is AB:BC equal to?

NDA 2025 Mathematics question

The position vectors of three points , and are , and respectively such that . What is equal to?

Answer: (B)

From the relation, . By the section formula, the point dividing internally in the ratio (from ) has position

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Question ID VK-030079