alleryStart learning →If x + 1/x = 3, find x² + 1/x².
- 11
- 9
- 8
- 7
Show answer and solution
Correct answer: D. 7
1. Square both sides: (x + 1/x)² = x² + 2 + 1/x² = 9.
2. x² + 1/x² = 9 − 2 = 7.
_Source: TSICET 2024 PYQ Q.91 (Shift 1, Algebra)_
NMAT Algebra — practice questions
Explore 4 free Algebra questions in NMAT Mathematicalability. Open each question or exercise to read its content, reference answers and available explanation.
Practise Algebra with Quill →Algebra questions and exercises with answers
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Worked practice questions
If a + b = 7 and ab = 12, find a² + b².
- 37
- 24
- 49
- 25
Show answer and solution
Correct answer: D. 25
1. (a+b)² = a² + 2ab + b² → 49 = a² + b² + 24.
2. a² + b² = 25.
_Source: TSICET 2024 PYQ Q.93 (Shift 1, Algebra)_
Expand (x + y)³.
- x³ + 2x²y + 2xy² + y³
- x³ + y³
- x³ + 3xy + 3xy² + y³
- x³ + 3x²y + 3xy² + y³
Show answer and solution
Correct answer: D. x³ + 3x²y + 3xy² + y³
1. Binomial expansion: (x+y)³ = x³ + 3x²y + 3xy² + y³.
2. Match option A.
_Source: TSICET 2024 PYQ Q.97 (Shift 1, Algebra)_
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