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TS EAMCET · Maths · Straight Lines

The point dividing the join of \((3,-2,1)\) and \((-2,3,11)\) in the ratio \(2: 3\) is

  1. A \((1,1,4)\)
  2. B \((1,0,5)\)
  3. C \((2,3,5)\)
  4. D \((0,6,-1)\)
Verified Solution

Answer & Solution

Correct Answer

(B) \((1,0,5)\)

Step-by-step Solution

Detailed explanation

Let require point is \(P\), then by section formula the coordinate of point \(P\) are \(\Rightarrow P\left(\frac{m x_2+n x_1}{m+n}, \frac{m y_2+n y_1}{m+n}, \frac{m z_2+n z_1}{m+n}\right)\) \(\Rightarrow \quad P\left(\frac{-4+9}{2+3}, \frac{6-6}{2+3}, \frac{22+3}{2+3}\right)\)…
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