Geometry and TrigonometryHardPoint with equal coordinates on a circle
Geometry and Trigonometry practice question
In the xy-plane, the circle x² + y² = 50 passes through the point (a, a), where a > 0. What is the value of a?
Answer: 5
a² + a² = 50 gives a² = 25, so a = 5.
Common wrong answers
- If you answered 25
- 25 is a², not a.
- If you answered 50
- 50 is the radius squared.
- If you answered 7.07
- 7.07 is the radius, the square root of 50.
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