Class XI Mathematics

Chapter 9: Straight Lines

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Key Formulas & Equations

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Slope Intercept Form

A(x₁, y₁)B(x₂, y₂)d
y = mx + c

Equation of line with slope m and y-intercept c.

Distance from Point to Line

sin θcos θθ
d = \frac{|Ax_0 + By_0 + C|}{\sqrt{A^2 + B^2}}

Perpendicular distance from point (x0, y0) to line Ax + By + C = 0.

Perpendicular Slopes relation

A(x₁, y₁)B(x₂, y₂)d
m_1 m_2 = -1

Product of slopes of two perpendicular lines is -1.

Related Formulas from Adjacent Chapters

Sum of GP

S_n = \frac{a(r^n - 1)}{r - 1}

[From Sequences and Series] Sum of first n terms of a GP with common ratio r.

Sum of Infinite GP

S_\infty = \frac{a}{1 - r}

[From Sequences and Series] Sum of infinite terms of convergent GP (|r| < 1).