Equation of line in Straight lines

Question

A line not parallel to the axes drawn through the point P(3,4) and inclined at an angle $\theta $ to the positive direction of x-axis. If the lines meets the line x=6 and y=8 at R and S respectively then

Easy

Solution

$\mathrm{cos}\mathrm{\theta}=\frac{3}{\mathrm{PR}},\mathrm{sin}\mathrm{\theta}=\frac{4}{\mathrm{PS}}$

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