Q. 14.4( 22 Votes )

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Answer :

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’.


Explanation:




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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