Find the distance between the parallel lines m (x + y) – n = 0 and mx + my + r = 0.

Asked by Topperlearning User | 20th Oct, 2016, 06:20: AM

Expert Answer:

T h e space p a r a l l e l space l i n e s space a r e space m left parenthesis x plus y right parenthesis minus n equals 0 space a n d space m left parenthesis x plus y right parenthesis plus r equals 0
D i s tan c e space i s space g i v e n space b y space open vertical bar fraction numerator negative n minus r over denominator square root of m squared plus m squared end root end fraction close vertical bar equals fraction numerator n plus r over denominator square root of 2 m squared end root end fraction

 
open square brackets because space t h e space d i s tan c e space b e t w e e n space t w o space p a r a l l e l space l i n e s space A x plus B y plus C subscript 1 equals 0 space a n d space A x plus B y plus C subscript 2 equals 0 space i s space g i v e n space b y open vertical bar fraction numerator C subscript 1 minus C subscript 2 over denominator square root of A squared plus B squared end root end fraction close vertical bar close square brackets

Answered by  | 20th Oct, 2016, 08:20: AM