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Question

Question: The distance between the lines \(8 x + 6 y = 15\) is...

The distance between the lines 8x+6y=158 x + 6 y = 15 is

A

72\frac { 7 } { 2 }

B

4

C

710\frac { 7 } { 10 }

D

None of these

Answer

710\frac { 7 } { 10 }

Explanation

Solution

Given lines 115\frac { 11 } { 5 }, 1510\frac { 15 } { 10 }

Clearly both lines are on the same side of the origin.

Hence, distance between both the lines are, 1151510=710\frac { 11 } { 5 } - \frac { 15 } { 10 } = \frac { 7 } { 10 }.