List Of Maths Formulas For Class 9th CBSE

List maths formulas for class 9th CBSE
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           Formula sheet for class 9th:

 

                       Algebraic Formula: 

1. (a + b)2 = a2 + 2ab + b2
2. (a – b)2 = a2 -2ab + b2
3. (a + b) (a – b) = a2 -b2
4. (x + a)(x + b) = x2 + (a + b) x + ab
5. (x + a)(x – b) = x2 + (a – b) x -ab
6. (x – a)(x + b) = x2 + (b – a) x -ab
7. (x – a)(x – b) = x2 – (a + b) x + ab
8. (a + b)3 = a3 + b3 + 3ab(a + b)
9. (a – b)3 = a3 – b3 – 3ab (a – b)
10. (x + y + z)2 = x2 + y2 + z2 + 2xy +2yz + 2xz
11. (x + y – z)2 = x2 + y2 + z2 + 2xy – 2yz – 2xz
12. (x – y + z)2 = x2 + y2 + z2 – 2xy – 2yz + 2xz
13. (x – y – z)2 = x2 + y2 + z2 – 2xy + 2yz – 2xz
14. x3 + y3 + z3 – 3xyz = (x + y + z)(x2 + y2 + z2 – xy – yz -xz)
15. x+ y2 = 1212 [(x + y)2 + (x – y)2]
16. (x + a) (x + b) (x + c) = x+ (a + b + c)x2 + (ab + bc + ca)x + abc
17.  x3 + y3 = (x + y) (x– xy + y2)
18.  x3 – y3 = (x – y) (x+ xy + y2)
19.  x+ y+ z-xy -yz -zx = 1212 [(x-y)2+(y-z)2+(z-x)2]

   Pythagorean Theorem:

  a2 + b2 = c2

Distance formula:

  • d = (x2x1)2+(y2y1)2−−−−−−−−−−−−−−−−−−√(x2−x1)2+(y2−y1)2.
  • Slope of a line m = y2y1x2x1y2−y1x2−x1.
  • Midpoint Formula :  (x1+x22,y1+y22)(x1+x22,y1+y22).
  • Slope of an Equation y = mx + b

Quadratic Equation:

  • Quadratic Equation:  x =  b±b24ac2a−b±b2−4ac2a.
  • Standard form of equation ax+ bx + c  = 0
Geometry Shapes Formulas for Class 9
Geometric Figure Area Perimeter 
Rectangle A=l×w P=2(l+w)
Triangle A=12bh P=a+b+c
Trapezoid A = 12h(b1+b2) P=a+b+c+d
Parallelogram A=bh P=2(b+h)
Circle A=πr2 C=2πr

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