Question -
Answer -
(i) 15x + 8y – 34 = 0 and 15x + 8y + 31 = 0
Given:
The parallel lines are 15x + 8y – 34 = 0 and 15x + 8y + 31 =0.
By using the formula,
The distance (d) between parallel lines Ax + By + C1 =0 and Ax + By + C2 = 0 is given by
∴ The distance between parallel lines is 65/17
(ii) l(x + y) + p = 0 and l (x + y) – r = 0
Given:
The parallel lines are l (x + y) + p = 0 and l (x + y) – r =0.
lx + ly + p = 0 and lx + ly – r = 0
by using the formula,
The distance (d) between parallel lines Ax + By + C1 =0 and Ax + By + C2 = 0 is given by
∴ The distance between parallel lines is |p+r|/l√2