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AP EAMCET · Maths · Three Dimensional Geometry

In \(\triangle A B C, \mathrm{~L}, \mathrm{M}, \mathrm{N}\) are points on \(B C, C A, A B\) respectively, dividing them in the ratio \(1: 2,2: 3,3: 5\). If the point \(K\) divides \(A B\) in the ratio \(5: 3\), then

  1. A \(\frac{5}{8}\)
  2. B \(\frac{2}{5}\)
  3. C \(\frac{3}{5}\)
  4. D \(\frac{1}{15}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{1}{15}\)

Step-by-step Solution

Detailed explanation

Given that, in \(\triangle A B C, L, M, N\) are points on BC, \(\mathrm{CA}\) and \(\mathrm{AB}\) respectively, dividing in the ratio \(1: 2,2: 3\) and \(3: 5\). Also, point \(K\) divides \(A B\) in the ratio \(5: 3\). Now, according to the section formula,…