How can I double check my math answers?

Resolve equations using alternative methods (e.g., check quadratic roots by plugging them back into ax² + bx + c), verify decimals using scientific solvers, and review step-by-step worked calculations.

Where are these syllabus concepts applied in real life?

Trigonometry is used in architecture, mechanics and navigation. Quadratic equations model rocket trajectories and profit boundaries. Basic arithmetic and fractions are applied in accounting, budgeting and lab chemistry.

Back to Class XII Mathematics

Class XII Mathematics

Chapter 11: Linear Programming

Standard NCERT & CBSE aligned study curriculum. Master concepts, track accuracy, revise weak areas, and challenge yourself with 9 customized practice modes.

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Syllabus Sections

Key Formulas & Equations

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Objective Function

Z = ax + by

Target linear function optimized under boundary constraints.

Related Formulas from Adjacent Chapters

Line Vector Equation

\vec{r} = \vec{a} + \lambda \vec{b}

[From Three Dimensional Geometry] Vector form of line passing through a parallel to b.

Shortest Distance Skew Lines

d = \frac{|(\vec{b}_1 \times \vec{b}_2) \cdot (\vec{a}_2 - \vec{a}_1)|}{|\vec{b}_1 \times \vec{b}_2|}

[From Three Dimensional Geometry] Distance between skew lines.

Conditional Probability

P(A|B) = \frac{P(A \cap B)}{P(B)}

[From Probability] Probability of event A occurring given that event B has occurred.

Bayes Theorem

P(E_i|A) = \frac{P(E_i)P(A|E_i)}{\sum P(E_j)P(A|E_j)}

[From Probability] Inverse conditional probability updates.