3c part

Asked by lovemaan5500 | 23rd Feb, 2018, 07:06: AM

Expert Answer:

begin mathsize 16px style Let space straight A equals left parenthesis negative 5 comma space 12 right parenthesis comma space straight B equals left parenthesis negative 1 comma space minus 12 right parenthesis comma space straight C equals left parenthesis negative 8 comma negative 5 right parenthesis comma space straight D equals left parenthesis 7 comma 10 right parenthesis
Mid minus point space of space AB equals straight P equals open parentheses fraction numerator negative 5 minus 1 over denominator 2 end fraction comma space fraction numerator 12 minus 12 over denominator 2 end fraction close parentheses equals open parentheses negative 3 comma space 0 close parentheses

Let space straight P space and space straight Q space be space the space point space of space trisection space of space the space line space segment space joining space the space points space
straight C left parenthesis negative 8 comma space minus 5 right parenthesis space and space straight D left parenthesis 7 comma space 10 right parenthesis. space space
rightwards double arrow CP equals PQ equals QD
We space have space CP colon space PD equals 1 colon space 2 space space
Co minus ordinates space of space the space point space straight P
equals open parentheses fraction numerator 1 cross times 7 plus 2 cross times left parenthesis negative 8 right parenthesis over denominator 1 plus 2 end fraction comma space fraction numerator 1 cross times 10 plus 2 cross times left parenthesis negative 5 right parenthesis over denominator 1 plus 2 end fraction close parentheses
equals open parentheses fraction numerator negative 9 over denominator 3 end fraction comma space 0 over 3 close parentheses
equals left parenthesis negative 3 comma space 0 right parenthesis
Hence comma space verified. end style

Answered by Rashmi Khot | 23rd Feb, 2018, 10:21: AM