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Question

Find the equation of the line which passes through the point (-4, 3) and the portion of the line intercepted between the axes is divided internally in the ratio 5:3 by this point.

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Solution

The equation of the given line is,xa+yb=1It cuts the axes at A(a, 0) and B(0, b) The portion of AB intercepts between the axis is 5 : 3. h=3×a+5×08 and 3×0+5×b8 p=(3a8,5b8)The line is passing through the point (-4, 3) 3a8=4 5b8=3 a=323 b=245 The equation of the given line is,x323+y245=13x32+5y24=19x20y+96=0


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