Ex 10.1, 5 - Chapter 10 Class 11 Straight Lines

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Ex10.1, 5 Find the slope of a line, which passes through the origin, and the mid-point of the line segment joining the points P (0, 4) and B (8, 0). We need to find Slope of a line passing through origin O(0, 0) & mid point of P (0, 4) & B(8, 0) Let M be the mid point of P (0, 4) & B(8, 0) We know that mid point of (x1, y1) and (x2, y2) = (( 1 + 2 )/2,( 1 + 2)/2) Mid point M of (0, 4) & (8, 0) = ((0 + 8)/2, ( 4 + 0)/2) = (8/2, ( 4)/2) = (4, 2) We know that slope of line passing through (x1, y1) and (x2, y2) is m = ( _2 _1)/( _2 _1 ) Slope of line between points O(0, 0) & M(4, 2) Here x1 = 0 , y1 = 0 x2 = 4 , y2 = 2 Putting values m = ( 2 0)/(4 0) = ( 2)/4 = ( 1)/2 Hence slope of line is ( 1)/2