IB ACIO Grade II practice question
If a + 1/a = 17 and b − 1/b = 19, find the value of (a² + 1/a²) + (b² + 1/b²).
From a IB ACIO Grade II Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (D) 650
a² + 1/a² = 17² − 2 = 287. b² + 1/b² = 19² + 2 = 363. Sum = 287 + 363 = 650.
हिंदी में प्रश्न
यदि a + 1/a = 17 तथा b − 1/b = 19 है, तो (a² + 1/a²) + (b² + 1/b²) का मान ज्ञात कीजिए।
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सही उत्तर: (D) 650
a² + 1/a² = 17² − 2 = 287। b² + 1/b² = 19² + 2 = 363। योग = 287 + 363 = 650।
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