Problem 81 of 7
Verify whether point (2,1/2) lies on the parabola with focus (1,1/2) and directrix y=-1/2.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
compare distance to focus and directrix.
Hidden until you reveal it.
Verification must compare distance to focus with perpendicular distance to directrix.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Compute distance from point to focus.
2. Compute perpendicular distance from point to directrix.
3. Compare the two distances.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Substituting into an unrelated equation without matching focus/directrix.