Mathematics · JEE | THREE DIMENSIONAL GEOMETRY

Given below are two statements: Statement I: The direction cosines of the \( z \)-axis are \( 0, 0, 1 \) or \( 0, 0, -1 \). Statement II: The equation \( \frac{x - x_1}{l} = \frac{y - y_1}{m} = \frac{z - z_1}{n} \) represents a straight line passing through \( (x_1, y_1, z_1) \) only if \( l^2 + m^2 + n^2 \neq 1 \). In the light of the above statements, choose the most appropriate answer from the options given below:

1. A
   Both Statement I and Statement II are correct.
2. B
   Both Statement I and Statement II are incorrect.
3. C
   Statement I is correct but Statement II is incorrect.
4. D
   Statement I is incorrect but Statement II is correct.