# Maharashtra State Board Class 11 Maths Formula – Geometry, Algebra and Trigonometry

Maths Formula for Class 11

The row L value (x = 4) is the true value of a variable. The information is, therefore, shown in Figures 1, L, and X. The classification beyond L is D. For example, with the fine-tuned distributions across the tens of boxes, this D. is S (x = 0)

The log square plus is 1. Boxes above D. will be analyzed at a later stage in classifying the previously mentioned classes.

The values of α and X are present along with L. So we can get into the finer details about these values:

A is actual alpha or how much the value of an object is multiplied by the input variable. Figure 2 shows how we combine internal alpha with the possibility of positive alpha. Where α is the chance of a positive 0 over the true value 1, for example of the 3 x 3, 2 x 2 relationships. This formula

B is the word, to gain control over a complex matter. It usually means a step in the process. Figure 3 shows how we mix internal and external controls here. See the examples of nested triangles.

vC is the word, to amplify significance. If we separated a few variables, we’d have to recall how far separated the two are and try to figure out how often they have interconnectivity. This is an example of step II.

We look at the ERBB at where-did-we-learn-these-values-ideally to achieve the optimal allocation for scenario A, the best allocation for B, and the best allocation for C.

Lastly, how can we extra late these ERBB calculations to the class? The linear parametric procedure we employ is R/IE classification. Figure 4 shows how we set up the parameters for the algorithm.

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### Co-ordinate Geometry & Line Formulas for Class 11:

Distance Formula = |P₁P₂| (x₂-x₁)² + (y₂-y₁)²

Slope :

m = rise/run

= Δy/Δx

= y₂-y₁ / x₂-x₁

Point – Slope Form :

y-y₁ = m (x-x₁)

Point – Point Form :

y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)

Slope – Intercept Form :

y = mx + b

Intercept – Intercept Form :

x/a + y/b = 1

General Form :

Ax + By + C = 0

Parallel & Perpendicular Lines :

• Parallel Lines: m₁=m₂
• Perpendicular Lines: m₁m₂ = 1

Distance from a point to a Line :

d = |Ax+By+C| / A² + B²

## Algebra Formula

1. Distributive Property:

a x (b + c) = a x b + a x c

2. Commutative Property of Addition:

a + b = b + a

3. Commutative Property of Multiplication:

a x b = b x a

4. Associative Property of Addition:

a + (b + c) = (a + b) + c

5. Associative Property of Multiplication:

a x (b x c) = (a x b) x c

6. Additive Identity Property:

a + 0 = a

7. Multiplicative Identity Property:

a x 1 = a

8. Additive Inverse Property:

a + (-a) = 0

9. Multiplication Inverse Property:

a . (1/a) = 1

10. Zero Property of Multiplication:

a x 0 = 0

## Trigonometry Formula

### Trigonometry Class 11 Formulas :

• sin (-θ) = -sin θ
• cos (-θ) = -cos θ
• tan (-θ) = -tan θ
• cot (-θ) = -cot θ
• sec (-θ) = -sec θ
• cosec (-θ) = -cosec θ

## Product to Sum Formulas

• sin x sin y = ½ [cos(x-y) – cos(x+y)]
• cos x cos y = ½ [cos(x-y) + cos(x+y)]
• sin x cos y = ½ [sin(x+y) + sin(x-y)]
• cos x sin y = ½ [sin(x+y) – sin(x-y)]

## Sum to Product Formulas

• sin x + sin y = 2 sin (x+y/2) cos (x-y/2)
• sin x – sin y = 2 cos (x+y/2) sin (x-y/2)
• cos x + cos y = 2 cos (x+y/2) cos (x-y/2)
• cos x + cos y = -2 sin (x+y/2) sin (x-y/2)