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MHT CET2009MathematicsVector Algebra

If 2 a +3 b -5 c = 0 , then ratio in which c divides A B is

Options

  1. A3: 2 internally
  2. B3: 2 externally
  3. C2: 3 internally
  4. D2: 3 externally

Correct answer

A. 3: 2 internally

Step-by-step solution

Given, 2 a +3 b -5 c =0 2 a +3 b 5 = c 2 a +3 b 2+3 = c a + 3 2 b 1+ 3 2 = c Let c divide A B in the ratio : 1 Then, c = a + b 1+ On comparing Eqs. (i) and (ii), we get = 3 2 Required ratio is 3: 2 internally.

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