Find out the distance between the parallel lines given by x + 3y =7 and 5x + 15y = 25. ( COR/E)
Solution: We already know the formula to get the distance between two parallele lines.
ax +by+c=0 and ax+by+d=0 are parallel lines , the distance between them is |c-d|/sqrt( asq +bsq)
where sqrt stands for square root and sq stands for square.
lines x + 3y =7 and 5x + 15y = 25 are || but the coefficient of x and y of both the equation are not equal.
So, let's make them equal by dividing 2nd equation by 5
We have x + 3y -7=0 and x + 3y -5=0 by applying the above formula
distance=|5-7|/sqrt(10)= 2/sqrt(10)
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