If thita is angle b/w lines joining points (0,0) (2,3) and the line joining points (2,-2) (3,5). show that tan thita = 11/23

Asked by haroonrashidgkp | 13th Dec, 2017, 11:02: PM

Expert Answer:

begin mathsize 16px style Equation space of space line space joining space left parenthesis 0 comma 0 right parenthesis space and space left parenthesis 2 comma 3 right parenthesis space using
straight y minus straight y subscript 1 equals straight m open parentheses straight x minus straight x subscript 1 close parentheses
you space get space 3 straight x minus 2 straight y plus 6 equals 0
Slope space of space the space line space equals space straight m subscript 1 equals 3 over 2.
and space equation space of space line space joining space left parenthesis 2 comma negative 2 right parenthesis space and space left parenthesis 3 comma 5 right parenthesis space is
7 straight x minus straight y minus 16 equals 0
Slope space of space the space line space equals space straight m subscript 2 equals 7
Using space formula space tan space straight theta equals open vertical bar fraction numerator straight m subscript 1 minus straight m subscript 2 over denominator 1 plus straight m subscript 1 straight m subscript 2 end fraction close vertical bar space you space will space get space the space answer.
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Answered by Sneha shidid | 14th Dec, 2017, 03:18: PM