AIIMS 2018 Physics Trajectory Equation Assertion Reason Question

The given expression for the trajectory of a projectile, $y - x \tan \theta = \frac{gx^2}{2u^2 \cos^2 \theta}$, is incorrect as it does not represent the standard equation of projectile motion, which is $y = x \tan \theta - \frac{g x^2}{2u^2 \cos^2 \theta}$. Therefore, both the assertion and the reason are false, making option D correct. Options A, B, and C are incorrect because they imply that either the assertion or the reason is true, which contradicts the fundamental principles of projectile motion. Understanding the correct trajectory equation is crucial for solving problems related to projectile motion in physics.