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Class 10th Maths notes
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Class 10th Maths notes (@class_10_math_notes) Ingliz til segmentidagi kanali faol ishtirokchi. Hozirda hamjamiyat 17 343 obunachidan iborat bo'lib, Taʼlim toifasida 11 687-o'rinni va Hindiston mintaqasida 25 391-o'rinni egallagan.
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невідомо sanasidan buyon loyiha tez o‘sib, 17 343 obunachiga ega bo‘ldi.
11 Iyun, 2026 dagi oxirgi ma’lumotlarga ko‘ra kanal barqaror faollikka ega. Oxirgi 30 kunda obunachilar soni -494 ga, so‘nggi 24 soatda esa -5 ga o‘zgardi va umumiy qamrov yuqori darajada qolmoqda.
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Yuqori yangilanish chastotasi (oxirgi ma’lumot 12 Iyun, 2026 da olingan) sababli kanal doimo dolzarb va katta qamrovli bo‘lib qoladi. Analitika auditoriya kontent bilan faol hamkorlik qilishini, uni Taʼlim toifasidagi muhim ta’sir nuqtasiga aylantirishini ko‘rsatadi.
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Obunachilar
-524 soatlar
-1047 kunlar
-49430 kunlar
Postlar arxiv
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📖 QUIZ EXPLANATION
❓ Question: The discriminant of the quadratic equation ax² + bx + c = 0 is:
✅ Correct Answer: b² - 4ac
💡 Explanation:
The correct answer is b² - 4ac.
Reason - The discriminant (Δ) is defined as b² - 4ac and determines the nature of roots in the quadratic formula.
Concept - The discriminant tells us about the roots: if Δ > 0 (two distinct real roots), Δ = 0 (one repeated real root), or Δ < 0 (no real roots).
Fact - This expression appears under the square root in the quadratic formula: x = (-b ± √(b² - 4ac))/2a.
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The discriminant of the quadratic equation ax² + bx + c = 0 is:
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📖 QUIZ EXPLANATION
❓ Question: The solution of x + y = 5 and x - y = 1 is:
✅ Correct Answer: (3, 2)
💡 Explanation:
The correct answer is (3, 2).
Reason - Adding the equations: (x + y) + (x - y) = 5 + 1 gives 2x = 6, so x = 3. Substituting: 3 + y = 5, so y = 2.
Concept - This uses the elimination method to solve simultaneous linear equations by eliminating one variable.
Fact - Verification: 3 + 2 = 5 ✓ and 3 - 2 = 1 ✓, confirming that (3, 2) satisfies both equations.
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📖 QUIZ EXPLANATION
❓ Question: A pair of linear equations has unique solution when:
✅ Correct Answer: a₁/a₂ ≠ b₁/b₂
💡 Explanation:
The correct answer is a₁/a₂ ≠ b₁/b₂.
Reason - When the ratios of coefficients are unequal, the lines intersect at exactly one point, giving a unique solution to the system.
Concept - This condition ensures that the two linear equations represent different, non-parallel lines that must intersect at one point.
Fact - If a₁/a₂ = b₁/b₂ but ≠ c₁/c₂, the lines are parallel (no solution), and if a₁/a₂ = b₁/b₂ = c₁/c₂, the lines are identical (infinitely many solutions).
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📖 QUIZ EXPLANATION
❓ Question: The zeroes of the polynomial x² - 5x + 6 are:
✅ Correct Answer: 2, 3
💡 Explanation:
The correct answer is 2, 3.
Reason - Setting x² - 5x + 6 = 0 and factoring gives (x - 2)(x - 3) = 0, so x = 2 or x = 3.
Concept - Zeroes are the values of x that make the polynomial equal to zero, and they correspond to the x-intercepts of the polynomial's graph.
Fact - This can be verified by substitution: (2)² - 5(2) + 6 = 4 - 10 + 6 = 0, and (3)² - 5(3) + 6 = 9 - 15 + 6 = 0.
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17 343
📖 QUIZ EXPLANATION
❓ Question: What is the degree of the polynomial 3x² + 2x + 1?
✅ Correct Answer: 2
💡 Explanation:
The correct answer is 2.
Reason - The degree of a polynomial is the highest power of the variable, and in 3x² + 2x + 1, the highest power of x is 2.
Concept - The degree determines many properties of the polynomial, including the maximum number of roots and the general shape of its graph.
Fact - This is a quadratic polynomial (degree 2), which means its graph is a parabola and it can have at most 2 real roots.
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17 343
📖 QUIZ EXPLANATION
❓ Question: The decimal expansion of a rational number is:
✅ Correct Answer: Either terminating or non-terminating repeating
💡 Explanation:
The correct answer is Either terminating or non-terminating repeating.
Reason - Rational numbers in decimal form either terminate (like 1/2 = 0.5) or have infinitely repeating patterns (like 1/3 = 0.333...).
Concept - The nature of decimal expansion depends on the prime factorization of the denominator when the fraction is in lowest terms - only factors of 2 and 5 give terminating decimals.
Fact - Examples include 3/4 = 0.75 (terminating) and 2/3 = 0.666... (non-terminating repeating), while irrational numbers like π have non-terminating, non-repeating expansions.
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17 343
📖 QUIZ EXPLANATION
❓ Question: Which of the following is an irrational number?
✅ Correct Answer: √2
💡 Explanation:
The correct answer is √2.
Reason - √2 is an irrational number because it cannot be expressed as a ratio of two integers and its decimal expansion is non-terminating and non-recurring.
Concept - Irrational numbers are real numbers that cannot be written as fractions (p/q where p and q are integers and q ≠ 0).
Fact - 2/3 and 0.5 are rational numbers, while π/π = 1, which is also rational. Only √2 among the given options is irrational.
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