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CBSE Class 11-science Answered

find the distance between
(-3,-2) & (-6,7),the axes being inclined at 60 degrees.
Asked by araima2001 | 25 Jun, 2016, 09:10: AM
answered-by-expert Expert Answer
begin mathsize 12px style For space oblique space coordinate space system comma space where space the space axes space are space inclined space at space some space angle space straight theta comma the space distance space between space two space points space open parentheses straight x subscript 1 comma space straight y subscript 1 close parentheses space and space open parentheses straight x subscript 2 comma space straight y subscript 2 close parentheses space is space given space by space square root of open parentheses straight x subscript 1 minus straight x subscript 2 close parentheses squared plus open parentheses straight y subscript 1 minus straight y subscript 2 close parentheses squared plus 2 open parentheses straight x subscript 1 minus straight x subscript 2 close parentheses open parentheses straight y subscript 1 minus straight y subscript 2 close parentheses cosθ end root In space the space given space problem comma space the space coordinates space of space two space points space are open parentheses negative 3 comma space minus 2 close parentheses space and space open parentheses negative 6 comma space 7 close parentheses. space The space angle space between space the space axes space is space 60 degree Using space the space formula comma space we space get space the space distance space as square root of open parentheses negative 3 minus open parentheses negative 6 close parentheses close parentheses squared plus open parentheses negative 2 minus 7 close parentheses squared plus 2 open parentheses negative 3 minus open parentheses negative 6 close parentheses close parentheses open parentheses negative 2 minus 7 close parentheses cos 60 degree end root equals square root of 3 squared plus 9 squared plus 2 cross times 3 cross times negative 9 cross times 1 half end root equals square root of 9 plus 81 minus 27 end root equals square root of 63 end style
Answered by satyajit samal | 27 Jun, 2016, 09:23: AM

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