Internal Division

Internal Division

Internal Division of Line Segments Internal Division an interval in a given ratio is that if the interval \( (x_1,y_1) \) and \( (x_2,y_2) \) is divided in the ratio \( m:n \) then the coordinates are; $$\Big(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}\Big)$$ Basic of Internal Division of Line Segments If \(A\) and \(B\) are the points \( (-4,3) \) [...]
Angle Between Lines

Angle Between Lines

Linear Functions - Angle Between Lines If the acute angle \( \theta \) between two straight lines \( y = m_1 x + A \) and \( y = m_2 x + B \), then $$\tan{\theta} = \left|\frac{m_1 - m_2}{1+m_1 \times m_2}\right|$$ Basic of Angle Between Lines Find the acute angles between the lines \( [...]