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B10. Algebra (बीजगणित)

Linear equations • Identities

Chapter Overview (English + हिंदी)

SSC GD algebra focuses on simple linear equations and standard identities like (a+b)^2.

SSC GD के algebra में सरल समीकरण और standard identities पर प्रश्न आते हैं।

Professor Tip: पहले formula याद, फिर 5 सवाल speed से, फिर 1-2 सवाल deep समझ से.

Important Formulas / महत्वपूर्ण सूत्र

ax + b = c ⇒ x = (c−b)/a
(a+b)² = a² + 2ab + b²
(a−b)² = a² − 2ab + b²
a² − b² = (a−b)(a+b)

Quick Tricks / त्वरित ट्रिक्स

  • Equation: bring constants one side.
  • Identity याद करने के लिए pattern देखो.
  • Signs carefully.

Practice MCQs (6) – Answer Hidden by Default

Click “Show Answer” for each question. (SSC GD level)

Q1. Solve: 3x + 5 = 20
हल करें: 3x + 5 = 20
Answer: B (5)
Explanation: 3x=15 ⇒ x=5.
Trick: 5 transfer ⇒ subtract.
Q2. If x/5 = 7, x =
x/5 = 7, तो x =
Answer: C (35)
Explanation: x=7×5=35.
Trick: Multiply both sides.
Q3. Value of (a+b)² equals:
(a+b)² का मान:
Answer: B
Explanation: Standard identity.
Trick: Middle term 2ab always.
Q4. If 2x − 3 = 11, x =
2x − 3 = 11, x =
Answer: D (7)
Explanation: 2x=14 ⇒ x=7.
Trick: Add 3 then divide by 2.
Q5. Factorize: a² − b²
a² − b² का गुणनखंड:
Answer: C
Explanation: Difference of squares.
Trick: a²−b² pattern.
Q6. If x+y=10 and x−y=4, then x=?
x+y=10, x−y=4, तो x=?
Answer: C (7)
Explanation: Add equations: 2x=14 ⇒ x=7.
Trick: Add to eliminate y.
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