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Mathematics · JEE | INTRODUCTION TO THREE DIMENSIONAL GEOMETRY
हिन्दीGiven below are two statements: Statement I: The coordinates of any point in the XZ-plane have their y-coordinate equal to zero. Statement II: The distance of the point \( P(x, y, z) \) from the YZ-plane is given by \( |y| \). In the light of the above statements, choose the most appropriate answer from the options given below:
View Answer & Solution
Correct answer · Option A
Both Statement I and Statement II are correct.
Explanation
By definition, the XZ-plane has \( y = 0 \), and the perpendicular distance of \( P(x, y, z) \) from the YZ-plane is \( |x| \)? Wait: distance from YZ-plane is \( |x| \), not \( |y| \). Let's check: distance from YZ-plane is \( x \)-coordinate magnitude, i.e., \( |x| \). Therefore, Statement II is incorrect. Let's re-verify: Statement I is correct, Statement II is incorrect. Thus the answer is Option 3.
