Question

# Distance between the lines 5x+3y−7=0 and 15x+9y+14=0 is

A

3534

B

13 34

C

353 34

D

35234

Solution

## The correct option is B 353 √34 The given lines can be written as  5x+3y−7=0                     ...(1) 5x+3y+143                         ...(2) Let d be the distance between the lines 5x+3y−7=0 and 15x+9y+14=0 Then, d=∣∣∣−7−143√52+32∣∣∣ ⇒ d=353√34

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