In what ratio does the point (24/11,y) divides the line segment joining the pointP(2,-2) and Q(3,7) Also find the value of y
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Let the point A(24/11, y) divides the segment PQ, given coordinates are P(2,-2) & Q(3,7) .
Here, x1 = 2, y1= -2 AND, x2 = 3, y2 = 7
By section formula,
X coordinate of point A = (m1 X2 + m2 X1 ) / (m1 + m2)
Here, let the ratio m1: m2 be k:1
So, 24/11 = (3k + 2) / ( k+1)
=> 33k +22 = 24k +24
=> 9k = 2
=> k = 2/9
So, the ratio = 2:9
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2:9 and y = -4/11
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