NDA 2025 · PYQ · Vectors / Position Vectors · easy
The position vectors of three points A, B and C are a, b and c respectively such that 3a - 4b + c = 0. What is AB:BC equal to?
- A.3:1
- B.1:3✓ Correct
- C.3:4
- D.1:4
3a - 4b + c = 0 means 4b = 3a + c, so b = (3a + c)/4. This means B divides AC in ratio 1:3 (from A to C). So AB:BC = 1:3.
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