First slide

Equation of line in Straight lines

Question

Two sides of a rectangle are 3x+ 4y + 5 = 0,4x-3y + 15= 0 and one of its vertices is (0,0). The area of rectangle is

Moderate

Solution

Distance of (0, 0) from the given lines is
$\begin{aligned} a = \frac{| 0 + 0 + 5 |}{5} = 1 \\ b = \frac{| 0 - 0 + 15 |}{5} = 3 \end{aligned}$
Area of rectangle =ab=3sq.units

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