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پستهای کانال
Prashnawali 1.2 class 10th One Shot | Ncert class 10th exercise 1.2 full solution | Explain 4U Maths
https://youtu.be/W-ayI4u1_sM
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| 9 | ⭐ Sphere Volume = 4/3πr³
⭐ Pythagoras = a² + b² = c²
⭐ sin θ = P/H
⭐ cos θ = B/H
⭐ tan θ = P/B
━━━━━━━━━━━━━━━━━━
🎯 CLASS 1 → CLASS 10 MATHS FORMULA REVISION
━━━━━━━━━━━━━━━━━━
अगर आप Maths में अच्छे marks लाना चाहते हैं, तो formulas को सिर्फ याद न करें — उनके पीछे का concept भी समझें। 📖
✅ रोज़ 10–15 formulas revise करें।
✅ हर formula पर कम से कम 2–3 questions solve करें।
✅ Geometry के formulas को diagrams के साथ याद करें।
✅ Algebraic identities को रोज़ practice करें।
✅ Trigonometry के values को बार-बार revise करें।
📌 इस पोस्ट को SAVE कर लें, क्योंकि exam के समय यह पूरी formula sheet बहुत काम आएगी। ❤️
━━━━━━━━━━━━━━━━━━
❤️ अगर यह Maths Formula Post आपको Useful लगी हो तो:
👍 LIKE करें
❤️ HEART दें
📤 अपने दोस्तों के साथ SHARE करें
🔔 WhatsApp Channel को FOLLOW करें
📚 और ऐसे ही Maths के Important Questions, Tricks & Formulas के लिए जुड़े रहें।
❤️ *एक Heart तो बनता है Maths Lovers! ❤️* | 35 |
| 10 | ━━━━━━━━━━━━━━━━━━
📌 33. COORDINATE GEOMETRY
━━━━━━━━━━━━━━━━━━
दो points:
A(x₁, y₁)
B(x₂, y₂)
🔹 Distance Formula:
AB = √[(x₂ − x₁)² + (y₂ − y₁)²]
🔹 Midpoint Formula:
((x₁ + x₂)/2, (y₁ + y₂)/2)
🔹 Section Formula:
अगर point m:n के ratio में divide करता है:
((mx₂ + nx₁)/(m+n), (my₂ + ny₁)/(m+n))
━━━━━━━━━━━━━━━━━━
📌 34. TRIGONOMETRY
━━━━━━━━━━━━━━━━━━
Right-angled triangle में:
🔹 sin θ = Perpendicular/Hypotenuse
🔹 cos θ = Base/Hypotenuse
🔹 tan θ = Perpendicular/Base
🔹 cosec θ = Hypotenuse/Perpendicular
🔹 sec θ = Hypotenuse/Base
🔹 cot θ = Base/Perpendicular
━━━━━━━━━━━━━━━━━━
📌 35. TRIGONOMETRIC IDENTITIES
━━━━━━━━━━━━━━━━━━
⭐ बहुत महत्वपूर्ण:
sin²θ + cos²θ = 1
1 + tan²θ = sec²θ
1 + cot²θ = cosec²θ
━━━━━━━━━━━━━━━━━━
📌 36. TRIGONOMETRIC VALUES
━━━━━━━━━━━━━━━━━━
θ = 0°
sin 0° = 0
cos 0° = 1
tan 0° = 0
θ = 30°
sin 30° = 1/2
cos 30° = √3/2
tan 30° = 1/√3
θ = 45°
sin 45° = 1/√2
cos 45° = 1/√2
tan 45° = 1
θ = 60°
sin 60° = √3/2
cos 60° = 1/2
tan 60° = √3
θ = 90°
sin 90° = 1
cos 90° = 0
tan 90° = Not Defined
━━━━━━━━━━━━━━━━━━
📌 37. STATISTICS
━━━━━━━━━━━━━━━━━━
🔹 Mean:
Mean = Sum of observations / Number of observations
🔹 Grouped Data Mean:
Mean = Σfx / Σf
जहाँ,
f = Frequency
x = Observation
🔹 Median:
Data को ascending/descending order में लगाने के बाद बीच का value.
🔹 Mode:
सबसे अधिक बार आने वाला value.
━━━━━━━━━━━━━━━━━━
📌 38. PROBABILITY
━━━━━━━━━━━━━━━━━━
🔹 Probability:
P(E) = Favourable Outcomes / Total Outcomes
🔹 Probability की range:
0 ≤ P(E) ≤ 1
🔹 Impossible Event:
P(E) = 0
🔹 Certain Event:
P(E) = 1
🔹 Complementary Event:
P(E) + P(not E) = 1
━━━━━━━━━━━━━━━━━━
📌 39. REAL NUMBERS
━━━━━━━━━━━━━━━━━━
🔹 Euclid Division Lemma:
a = bq + r
जहाँ,
0 ≤ r < b
🔹 HCF × LCM:
दो positive integers a और b के लिए:
HCF × LCM = a × b
━━━━━━━━━━━━━━━━━━
📌 40. QUADRATIC EQUATION
━━━━━━━━━━━━━━━━━━
Standard form:
ax² + bx + c = 0
जहाँ a ≠ 0
🔹 Quadratic Formula:
x = [-b ± √(b² − 4ac)] / 2a
🔹 Discriminant:
D = b² − 4ac
अगर,
D > 0 → दो अलग real roots
D = 0 → दो equal real roots
D < 0 → real roots नहीं
🔹 Sum of roots:
α + β = −b/a
🔹 Product of roots:
αβ = c/a
━━━━━━━━━━━━━━━━━━
📌 41. ARITHMETIC PROGRESSION (AP)
━━━━━━━━━━━━━━━━━━
First term = a
Common Difference = d
Number of terms = n
🔹 nth term:
aₙ = a + (n − 1)d
🔹 Sum of n terms:
Sₙ = n/2 [2a + (n − 1)d]
या,
Sₙ = n/2(a + l)
जहाँ l = last term
━━━━━━━━━━━━━━━━━━
📌 42. USEFUL NUMBER FORMULAS
━━━━━━━━━━━━━━━━━━
🔹 Sum of first n natural numbers:
n(n + 1)/2
🔹 Sum of first n odd numbers:
n²
🔹 Sum of first n even numbers:
n(n + 1)
🔹 Sum of squares:
n(n + 1)(2n + 1)/6
🔹 Sum of cubes:
[n(n + 1)/2]²
━━━━━━━━━━━━━━━━━━
📌 43. BASIC UNIT CONVERSIONS
━━━━━━━━━━━━━━━━━━
1 km = 1000 m
1 m = 100 cm
1 cm = 10 mm
1 kg = 1000 g
1 litre = 1000 mL
1 hour = 60 minutes
1 minute = 60 seconds
1 day = 24 hours
1 week = 7 days
━━━━━━━━━━━━━━━━━━
📌 44. IMPORTANT GEOMETRY FACTS
━━━━━━━━━━━━━━━━━━
🔹 Vertically opposite angles are equal.
🔹 Linear pair का sum = 180°
🔹 Parallel lines में corresponding angles equal होते हैं।
🔹 Alternate interior angles equal होते हैं।
🔹 Co-interior angles का sum = 180°
🔹 Triangle के तीनों angles का sum = 180°
🔹 Quadrilateral के चारों angles का sum = 360°
━━━━━━━━━━━━━━━━━━
📌 45. VERY IMPORTANT FORMULA SHORTCUTS
━━━━━━━━━━━━━━━━━━
⭐ Distance = Speed × Time
⭐ Speed = Distance ÷ Time
⭐ Time = Distance ÷ Speed
⭐ Profit = SP − CP
⭐ Loss = CP − SP
⭐ SI = PRT/100
⭐ Amount = Principal + Interest
⭐ Percentage = Part/Whole × 100
⭐ Average = Sum/Number
⭐ Rectangle Area = Length × Breadth
⭐ Square Area = Side²
⭐ Triangle Area = 1/2 × Base × Height
⭐ Circle Area = πr²
⭐ Circle Circumference = 2πr
⭐ Cuboid Volume = lbh
⭐ Cube Volume = a³
⭐ Cylinder Volume = πr²h
⭐ Cone Volume = 1/3πr²h | 27 |
| 11 | 🔹 a² − b² = (a + b)(a − b)
🔹 (a + b)³ = a³ + b³ + 3ab(a + b)
🔹 (a − b)³ = a³ − b³ − 3ab(a − b)
🔹 a³ + b³ = (a + b)(a² − ab + b²)
🔹 a³ − b³ = (a − b)(a² + ab + b²)
🔹 (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
🔹 a³ + b³ + c³ − 3abc
= (a + b + c)(a² + b² + c² − ab − bc − ca)
अगर,
a + b + c = 0
तो,
a³ + b³ + c³ = 3abc
━━━━━━━━━━━━━━━━━━
📌 15. LAWS OF EXPONENTS
━━━━━━━━━━━━━━━━━━
🔹 aᵐ × aⁿ = aᵐ⁺ⁿ
🔹 aᵐ ÷ aⁿ = aᵐ⁻ⁿ
🔹 (aᵐ)ⁿ = aᵐⁿ
🔹 (ab)ⁿ = aⁿbⁿ
🔹 (a/b)ⁿ = aⁿ/bⁿ
🔹 a⁰ = 1
🔹 a⁻ⁿ = 1/aⁿ
━━━━━━━━━━━━━━━━━━
📌 16. SQUARE & SQUARE ROOT
━━━━━━━━━━━━━━━━━━
🔹 Square:
n² = n × n
🔹 Square Root:
√n × √n = n
🔹 Important:
√a × √b = √ab
√a/√b = √(a/b)
━━━━━━━━━━━━━━━━━━
📌 17. CUBE & CUBE ROOT
━━━━━━━━━━━━━━━━━━
🔹 Cube:
n³ = n × n × n
🔹 Cube Root:
∛n
🔹 Important:
∛a × ∛b = ∛ab
━━━━━━━━━━━━━━━━━━
📌 18. LINEAR EQUATION
━━━━━━━━━━━━━━━━━━
🔹 ax + b = c
तो,
x = (c − b)/a
🔹 अगर:
ax + b = cx + d
तो,
x = (d − b)/(a − c)
━━━━━━━━━━━━━━━━━━
📌 19. GEOMETRY – ANGLES
━━━━━━━━━━━━━━━━━━
🔹 Right Angle = 90°
🔹 Straight Angle = 180°
🔹 Complete Angle = 360°
🔹 Acute Angle:
Less than 90°
🔹 Obtuse Angle:
Greater than 90° and less than 180°
🔹 Complementary Angles:
Sum = 90°
🔹 Supplementary Angles:
Sum = 180°
🔹 Angles around a point:
360°
━━━━━━━━━━━━━━━━━━
📌 20. TRIANGLE
━━━━━━━━━━━━━━━━━━
🔹 Sum of angles:
A + B + C = 180°
🔹 Exterior angle:
Exterior Angle = Sum of two opposite interior angles
🔹 Area:
Area = 1/2 × Base × Height
🔹 Equilateral Triangle:
Perimeter = 3a
Area = √3/4 × a²
━━━━━━━━━━━━━━━━━━
📌 21. HERON'S FORMULA
━━━━━━━━━━━━━━━━━━
अगर triangle की sides a, b, c हैं:
🔹 Semi-perimeter:
s = (a + b + c)/2
🔹 Area:
Area = √[s(s − a)(s − b)(s − c)]
━━━━━━━━━━━━━━━━━━
📌 22. PYTHAGORAS THEOREM
━━━━━━━━━━━━━━━━━━
Right-angled triangle में:
Hypotenuse² = Base² + Perpendicular²
या,
c² = a² + b²
━━━━━━━━━━━━━━━━━━
📌 23. QUADRILATERAL
━━━━━━━━━━━━━━━━━━
🔹 Sum of interior angles:
360°
🔹 Rectangle:
Perimeter = 2(l + b)
Area = l × b
🔹 Square:
Perimeter = 4a
Area = a²
Diagonal = a√2
🔹 Parallelogram:
Area = Base × Height
🔹 Rhombus:
Area = 1/2 × d₁ × d₂
━━━━━━━━━━━━━━━━━━
📌 24. POLYGON
━━━━━━━━━━━━━━━━━━
अगर polygon की sides = n
🔹 Sum of interior angles:
(n − 2) × 180°
🔹 प्रत्येक interior angle of regular polygon:
[(n − 2) × 180°]/n
🔹 Number of diagonals:
n(n − 3)/2
━━━━━━━━━━━━━━━━━━
📌 25. CIRCLE
━━━━━━━━━━━━━━━━━━
🔹 Diameter:
d = 2r
🔹 Radius:
r = d/2
🔹 Circumference:
C = 2πr
या,
C = πd
🔹 Area:
A = πr²
जहाँ,
π ≈ 22/7 या 3.14159...
━━━━━━━━━━━━━━━━━━
📌 26. SEMICIRCLE
━━━━━━━━━━━━━━━━━━
🔹 Area:
1/2 πr²
🔹 Curved Length:
πr
🔹 Perimeter:
πr + 2r
━━━━━━━━━━━━━━━━━━
📌 27. CUBOID
━━━━━━━━━━━━━━━━━━
Length = l
Breadth = b
Height = h
🔹 Volume:
V = lbh
🔹 Total Surface Area:
TSA = 2(lb + bh + hl)
🔹 Lateral Surface Area:
LSA = 2h(l + b)
🔹 Diagonal:
d = √(l² + b² + h²)
━━━━━━━━━━━━━━━━━━
📌 28. CUBE
━━━━━━━━━━━━━━━━━━
Side = a
🔹 Volume:
V = a³
🔹 Total Surface Area:
TSA = 6a²
🔹 Lateral Surface Area:
LSA = 4a²
🔹 Diagonal:
d = a√3
━━━━━━━━━━━━━━━━━━
📌 29. CYLINDER
━━━━━━━━━━━━━━━━━━
🔹 Curved Surface Area:
CSA = 2πrh
🔹 Total Surface Area:
TSA = 2πr(r + h)
🔹 Volume:
V = πr²h
━━━━━━━━━━━━━━━━━━
📌 30. CONE
━━━━━━━━━━━━━━━━━━
🔹 Slant Height:
l = √(r² + h²)
🔹 Curved Surface Area:
CSA = πrl
🔹 Total Surface Area:
TSA = πr(l + r)
🔹 Volume:
V = 1/3 πr²h
━━━━━━━━━━━━━━━━━━
📌 31. SPHERE
━━━━━━━━━━━━━━━━━━
🔹 Surface Area:
A = 4πr²
🔹 Volume:
V = 4/3 πr³
━━━━━━━━━━━━━━━━━━
📌 32. HEMISPHERE
━━━━━━━━━━━━━━━━━━
🔹 Curved Surface Area:
CSA = 2πr²
🔹 Total Surface Area:
TSA = 3πr²
🔹 Volume:
V = 2/3 πr³ | 19 |
| 12 | *ALL IMPORTANT MATHS FORMULAS* 📚
🔥 एक ही पोस्ट में Maths के लगभग सभी जरूरी Formulas 🔥
📌 1. ARITHMETIC FORMULAS
━━━━━━━━━━━━━━━━━━
🔹 Natural Numbers:
1, 2, 3, 4, 5, ...
🔹 Whole Numbers:
0, 1, 2, 3, 4, ...
🔹 Even Number:
2, 4, 6, 8, 10, ...
🔹 Odd Number:
1, 3, 5, 7, 9, ...
🔹 Successor:
Number + 1
🔹 Predecessor:
Number − 1
🔹 Sum:
a + b
🔹 Difference:
a − b
🔹 Product:
a × b
🔹 Quotient:
Dividend ÷ Divisor
🔹 Dividend:
Divisor × Quotient + Remainder
🔹 Remainder:
Dividend − (Divisor × Quotient)
━━━━━━━━━━━━━━━━━━
📌 2. BODMAS RULE
━━━━━━━━━━━━━━━━━━
B → Brackets
O → Orders / Of
D → Division
M → Multiplication
A → Addition
S → Subtraction
👉 हमेशा operations को इसी क्रम में solve किया जाता है।
━━━━━━━━━━━━━━━━━━
📌 3. FRACTIONS
━━━━━━━━━━━━━━━━━━
🔹 Like Fractions:
Denominator same
🔹 Unlike Fractions:
Denominator different
🔹 Fraction of a number:
Fraction × Number
🔹 Addition:
a/b + c/b = (a + c)/b
🔹 Subtraction:
a/b − c/b = (a − c)/b
🔹 Multiplication:
a/b × c/d = ac/bd
🔹 Division:
a/b ÷ c/d = a/b × d/c
━━━━━━━━━━━━━━━━━━
📌 4. RATIO & PROPORTION
━━━━━━━━━━━━━━━━━━
🔹 Ratio:
a : b = a/b
🔹 Equivalent Ratio:
a : b = ka : kb
🔹 Proportion:
a : b = c : d
तो,
ad = bc
━━━━━━━━━━━━━━━━━━
📌 5. PERCENTAGE
━━━━━━━━━━━━━━━━━━
🔹 Percentage:
Percentage = (Part/Whole) × 100
🔹 Part:
Part = (Percentage × Whole)/100
🔹 Percentage Increase:
Increase % = (Increase/Original Value) × 100
🔹 Percentage Decrease:
Decrease % = (Decrease/Original Value) × 100
🔹 New Value after increase:
New Value = Original Value × (100 + r)/100
🔹 New Value after decrease:
New Value = Original Value × (100 − r)/100
━━━━━━━━━━━━━━━━━━
📌 6. PROFIT & LOSS
━━━━━━━━━━━━━━━━━━
🔹 Profit:
Profit = SP − CP
🔹 Loss:
Loss = CP − SP
🔹 Profit Percentage:
Profit% = (Profit/CP) × 100
🔹 Loss Percentage:
Loss% = (Loss/CP) × 100
🔹 Selling Price:
SP = CP × (100 + Profit%)/100
🔹 Selling Price in Loss:
SP = CP × (100 − Loss%)/100
🔹 Cost Price:
CP = SP × 100/(100 + Profit%)
🔹 Cost Price in Loss:
CP = SP × 100/(100 − Loss%)
━━━━━━━━━━━━━━━━━━
📌 7. DISCOUNT
━━━━━━━━━━━━━━━━━━
🔹 Discount:
Discount = Marked Price − Selling Price
🔹 Discount%:
Discount% = (Discount/Marked Price) × 100
🔹 Selling Price:
SP = MP − Discount
🔹 After discount:
SP = MP × (100 − Discount%)/100
━━━━━━━━━━━━━━━━━━
📌 8. SIMPLE INTEREST
━━━━━━━━━━━━━━━━━━
🔹 Simple Interest:
SI = (P × R × T)/100
जहाँ,
P = Principal
R = Rate
T = Time
🔹 Amount:
A = P + SI
━━━━━━━━━━━━━━━━━━
📌 9. COMPOUND INTEREST
━━━━━━━━━━━━━━━━━━
🔹 Amount:
A = P(1 + R/100)ⁿ
🔹 Compound Interest:
CI = A − P
जहाँ,
P = Principal
R = Rate
n = Number of years
🔹 Half-yearly compounding:
Rate = R/2
Time = 2n
🔹 Quarterly compounding:
Rate = R/4
Time = 4n
━━━━━━━━━━━━━━━━━━
📌 10. AVERAGE
━━━━━━━━━━━━━━━━━━
🔹 Average:
Average = Sum of observations / Number of observations
🔹 Sum:
Sum = Average × Number of observations
━━━━━━━━━━━━━━━━━━
📌 11. UNITARY METHOD
━━━━━━━━━━━━━━━━━━
🔹 Value of 1 unit:
Total Value ÷ Total Units
🔹 Value of n units:
Value of 1 unit × n
━━━━━━━━━━━━━━━━━━
📌 12. SPEED, DISTANCE & TIME
━━━━━━━━━━━━━━━━━━
🔹 Speed:
Speed = Distance / Time
🔹 Distance:
Distance = Speed × Time
🔹 Time:
Time = Distance / Speed
🔹 Average Speed:
Average Speed = Total Distance / Total Time
🔹 Conversion:
1 km = 1000 m
1 hour = 60 minutes
1 minute = 60 seconds
🔹 km/h → m/s:
× 5/18
🔹 m/s → km/h:
× 18/5
━━━━━━━━━━━━━━━━━━
📌 13. TIME & WORK
━━━━━━━━━━━━━━━━━━
अगर A कोई काम x दिनों में करता है:
🔹 One day's work:
1/x
अगर B वही काम y दिनों में करता है:
1/y
दोनों मिलकर:
1/x + 1/y
अगर दोनों मिलकर काम T दिनों में करते हैं:
1/T = 1/x + 1/y
━━━━━━━━━━━━━━━━━━
📌 14. ALGEBRAIC IDENTITIES
━━━━━━━━━━━━━━━━━━
⭐ सबसे महत्वपूर्ण identities:
🔹 (a + b)² = a² + 2ab + b²
🔹 (a − b)² = a² − 2ab + b² | 28 |
| 13 |  π (Pi) का लगभग मान कितना होता है?
What is the approximate value of π (Pi)?
https://www.facebook.com/share/p/1BAnSbnoY2/ | 420 |
| 14 | https://www.facebook.com/share/p/1BAnSbnoY2/ | 1 |
| 15 | How many sides in a Circle? I #circle #maths #explain4u #shorts #mathematics #ganit #facts #math@Explain_4u
https://youtube.com/shorts/5-G0yhb1cZM?feature=share | 418 |
| 16 | https://www.facebook.com/share/v/1EKV9foLj4/ | 62 |
| 17 | https://www.facebook.com/share/v/1EKV9foLj4/ | 1 |
| 18 | https://youtu.be/eGOWmi6j1sg | 685 |
| 19 | सबसे छोटा अभाज्य संख्या (Prime Number ) है ? | 643 |
| 20 |  Maths शुरुआत से कैसे सीखें | Maths Kaise Sikhe 🔥 Full Maths सीखें 👇✨️
https://youtu.be/y9305x4JyiU | 36 |
