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| 1. |
If A and B are (1,4) and (5,2) respectively, find the coordinates of P when AP/BP=3/4. |
| Answer» Let A(1, 4) and B(5, 2) be the given points.We know that\xa0{tex}\\frac { A P } { B P } = \\frac { 3 } { 4 }{/tex}or, AP : BP\xa0= 3:4Coordinates of P are{tex}\\left( \\frac { 3 \\times 5 + 4 \\times 1 } { 3 + 4 } , \\frac { 3 \\times 2 + 4 \\times 4 } { 3 + 4 } \\right){/tex}{tex}= \\left( \\frac { 19 } { 7 } , \\frac { 22 } { 7 } \\right){/tex} | |