Maths formulas pdf – CBSC Board Class-6 to Class-12

Maths formulas pdf | maths formulas for class 8 | math formula class 10 | 50 maths formulas| CBSC Board Class-6 to Class-12

1- Work = force × distance
कार्य = बल × दूरी

2- Energy = force × distance
ऊर्जा = बल × दूरी

3- Speed = distance / time
गति = दूरी / समय

4- Velocity= displacement / time
वेग = विस्थापन / समय

5- Electric field = electrical force/charge
विद्युत क्षेत्र= वैद्युत बल/आवेश

6- Force = force/area
प्रतिबल=बल/क्षेत्रफल

7- Volume = length × width × height
आयतन = लंबाई × चौड़ाई × ऊंचाई

8- Mass density = mass/volume
द्रव्यमान घनत्व =द्रव्यमान/आयतन

9- Acceleration =velocity / time
त्वरण = वेग / समय

10- Power = work / time
शक्ति = कार्य / समय

11- Pressure = force / area
दाब =बल/क्षेत्रफल

11- Momentum = mass × velocity
संवेग = द्रव्यमान × वेग

13- Area (A) = Length × Width
क्षेत्रफल ( A ) = लम्बाई × चौड़ाई

14- Force (F) = Mass × Acceleration
बल ( F ) = द्रव्यमान × त्वरण

15- Pressure Energy = Pressure × Volume
दाब ऊर्जा = दाब × आयतन

16- Impulse = force × time
आवेग = बल × समय

17- Linear momentum = mass × velocity
रैखिक संवेग = द्रव्यमान × वेग

18- Kinetic energy = 1/2 mv²
गतिज ऊर्जा = 1/2 mv²

19- Mechanical energy = kinetic energy + potential energy
यांत्रिक ऊर्जा = गतिज ऊर्जा + स्थितिज ऊर्जा

20- Angular momentum = Inertial × Angular velocity
कोणीय संवेग = जड़त्वाघूर्ण × कोणीय वेग

Maths formulas pdf
  • a² – b² = (a-b)(a+b)
  • (a+b)² = a² + 2ab + b²
  • (a-b)² = a² – 2ab + b²
  • a² + b² = (a-b)² +2ab
  • (a+b+c)² = a²+b²+c²+2ab+2ac+2bc
  • (a-b-c)² = a²+b²+c²-2ab-2ac+2bc
  • a³-b³ = (a-b) (a² + ab + b²)
  • a³+b³ = (a+b) (a² – ab + b²)
  • (a+b)³ = a³+ 3a²b + 3ab² + b³
  • (a-b)³ = a³- 3a²b + 3ab² – b³
  • “n” is a natural number, an – bn = (a-b) (an-1 + an-2b +….bn-2a + bn-1)
  • “n” is a even number, an + bn = (a+b) (an-1 – an-2b +….+ bn-2a – bn-1)
  • “n” is an odd number an + bn = (a-b) (an-1 – an-2b +…. – bn-2a + bn-1)
  • (am)(an) = am+n (ab)m = amn

Solved Examples

Q: Find the value of 17² – 4²

Ans: Now these are simple numbers, so we can calculate the answer. But the correct method is to apply the formula,

a² – b² = (a-b) (a+b)

17² – 4² = (17-4) (17+4)

= 13 × 21

= 273 Answer

Maths formulas pdf

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