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  4. Two projectiles are projected at angles ((π/4)+θ) and ((π/4)-θ) with the horizontal, where θ < (π/4), with same speed. The ratio of horizontal ranges described by them is

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Q. Two projectiles are projected at angles $\left(\frac{\pi}{4}+\theta\right)$ and $\left(\frac{\pi}{4}-\theta\right)$ with the horizontal, where $\theta < \frac{\pi}{4}$, with same speed. The ratio of horizontal ranges described by them is

Motion in a Plane

Solution:

The horizontal range is same when the angles of projection are complimentary to each other