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find the point which divides the linesegment joining the points( a+b,a-b)and (a-b,a+b) in the ratio 3:2 internally |
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Answer» Step-by-step EXPLANATION: Let the POINT A( a+b ,a-b) and B (a-b , a+b ) which divide the linesegment AB at O ( X, Y) in the ratio 3:2 internally . FORMULA : [mx2+nx1/m+n , my2+ny1/m+n] put the VALUE [3(a-b) + 2(a+b)/3+2 , 3(a+b) + 2(a-b) /3+2] [3a-3b + 2a+2b /5 , 3a+3b + 2a-2b / 5] [5a-b /5 , 5a+b /5] [5( a-(b÷5) ) /5 , 5( a+(b÷5) ) /5] [a-b/5 , a+b/5] hence, so the point O Which divide the linesegment AB is X=a-b/5 and Y=a+b/5 |
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