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Mathematics · JEE | INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

हिन्दी

What is the midpoint formula for two points \( P(x_1, y_1, z_1) \) and \( Q(x_2, y_2, z_2) \) in space?

  1. A
    \( (\frac{x_1-x_2}{2}, \frac{y_1-y_2}{2}, \frac{z_1-z_2}{2}) \)
  2. B
    \( (x_1+x_2, y_1+y_2, z_1+z_2) \)
  3. C
    \( (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}, \frac{z_1+z_2}{2}) \)
  4. D
    \( (\frac{x_2-x_1}{2}, \frac{y_2-y_1}{2}, \frac{z_2-z_1}{2}) \)
View Answer & Solution

Correct answer · Option C

\( (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}, \frac{z_1+z_2}{2}) \)

Explanation

The midpoint coordinates are the averages of the corresponding coordinates of the two endpoints: \( (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}, \frac{z_1+z_2}{2}) \).
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