Q. 14.4( 22 Votes )
Given: line segment joining the points Q( – 5,4) and R( – 1,0), and also given the midpoint of the line segment i.e.,
To find: the value of ‘a’.
By section formula which states that if a point P(x,y) divides the line with endpoints A(x1,y1) and B(x2,y2) in the ration m:n, the coordinates of x and y are:
As midpoint divides the line in the ratio 1:1,
As it is given P is the midpoint of line QR, so the coordinates of P are
For x – coordinate
Here x1 = – 5 and x2 = – 1, so the above equation becomes
⇒ 2a = 3( – 6)
⇒ 2a =–18
⇒ a =–9
Hence the value of a is–9.
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