First slide

Equation of line in Straight lines

Question

The distance between the lines $4 x + 3 y = 11$ and $8 x + 6 y = 15,$ is

Moderate

A

7/2
B

4
C

7 /10
D

none of these

Solution

The given lines are
$4 x + 3 y - 11 = 0$ and $4 x + 3 y - \frac{15}{2} = 0$
$∴$ Required distance $= \frac{|- 11 + \frac{15}{2}|}{\sqrt{4^{2} + 3^{2}}} = \frac{7}{10}$

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