Class VIII Mathematics

Chapter 11: Direct and Inverse Proportions

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Key Formulas & Equations

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Direct Proportion

\frac{x_1}{y_1} = \frac{x_2}{y_2}

Ratio remains constant.

Inverse Proportion

x_1 y_1 = x_2 y_2

Product remains constant.

Related Formulas from Adjacent Chapters

Negative Exponent Law

a^{-n} = \frac{1}{a^n}

[From Exponents and Powers] Negative index represents reciprocal power.

Trinomial Factorisation

x^2 + (a+b)x + ab = (x+a)(x+b)

[From Factorisation] Factors quadratic trinomial into product of binomials.