Hello sir my doubt is here-
 What is difference between internal and external division?
 
Please answer. i had question 2 to 3 times but no answer. my questions are being wasted then you will ask for 500 rs for new questions.

Asked by viralmvora | 2nd Sep, 2016, 01:10: PM

Expert Answer:

First of all, the questions that you have asked previously TILL DATE are as follows.
 
Secondly, this is the answer to your query.
 
 
begin mathsize 16px style Internal space Division colon
The space coordinates space of space the space point space which space divides space the space line space segment space joining space the space points space straight A left parenthesis straight x subscript 1 comma straight y subscript 1 right parenthesis space and space straight B left parenthesis straight x subscript 2 comma straight y subscript 2 right parenthesis space
internally space in space the space ration space straight m space colon space straight n space are space given space by
straight x equals fraction numerator straight m straight x subscript 2 plus nx subscript 1 over denominator straight m plus straight n end fraction space space and space straight y equals fraction numerator my subscript 2 plus ny subscript 1 over denominator straight m plus straight n end fraction space space
Observe space that space here space the space point space straight P space lies space between space straight A space and space straight B comma space hence space the space word space apostrophe internal space division apostrophe space is space used. end style
 
External Division:
 
begin mathsize 16px style The space coordinates space of space the space point space straight R space which space divides space the space line space segment space joining space the space points space straight P left parenthesis straight x subscript 1 comma straight y subscript 1 right parenthesis space and space straight Q left parenthesis straight x subscript 2 comma straight y subscript 2 right parenthesis space
externally space in space the space ration space straight m space colon space straight n space are space given space by
straight x equals fraction numerator mx subscript 2 minus nx subscript 1 over denominator straight m minus straight n end fraction space space and space straight y equals fraction numerator my subscript 2 minus ny subscript 1 over denominator straight m minus straight n end fraction space space
Observe space that space here space the space point space straight R space lies space outside space the space line space segment space joining space straight P space and space straight Q comma space hence space the space word space apostrophe external space division apostrophe space is space used. end style
Example: When R divides a line PQ in ratio say :1 externally then it means distance of R from P is twice R from Q.
Hope this solves your doubt.

Answered by Rebecca Fernandes | 2nd Sep, 2016, 02:34: PM