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TS EAMCET · Maths · Three Dimensional Geometry

Points \(A(3,2,4), B\left(\frac{33}{5}, \frac{28}{5}, \frac{38}{5}\right)\) and \(C(9,8,10)\) are given. The ratio in which \(B\) divides \(\overline{A C}\) is

  1. A \(5: 3\)
  2. B \(2: 1\)
  3. C \(1: 3\)
  4. D \(3: 2\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(3: 2\)

Step-by-step Solution

Detailed explanation

Let \(B\left(\frac{33}{5}, \frac{28}{5}, \frac{38}{5}\right)\) divides \(\overline{A C}\) in the ratio \(k: 1\), where \(A(3,2,4)\) an \(d C(9,8,10)\). Now,…