SAT Math Practice Question #2537 (Medium) | Test Citadel
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SAT Math Difficulty: Medium

Digital SAT Math Practice Question #2537

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Point $(a, 3)$ lies on the circle $x^2 + y^2 = 25$. If $a > 0$, what is the value of $a$?
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Geometry & Trig Rule: Always sketch the triangle or circle and check for standard Pythagorean triples (3-4-5, 5-12-13, 7-24-25, 8-15-17).

Masterclass Solution & Distractor Trap Analysis

Substitute $y = 3$: $a^2 + 3^2 = 25 \implies a^2 + 9 = 25 \implies a^2 = 16 \implies a = 4$....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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