Question

4) Distance between the lines 15x +9y+ 14 = 0 and 10x + 6y - 14 = 0 is


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Answer 1

Answer:

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Answer 2

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Given equation of lines are

5x+3y−7=0 ...(i)

and 15x+9y+14=0 or 5x+3y+143=0 ...(ii)

Therefore, Lines (i) and (ii) are parallel and C1 and C2 and of opposite signs, therefore these lines are on opposite sides of the origin, so the distance between them is

|C1a21+b21−−−−−√|+|C2a21|+b22−−−−−−√|=|752+32−−−−−√|+|14352+32−−−−−√| =|−734−−√|+|14334−−√|=35334−−√