Q. 14.4( 22 Votes )

<span lang="EN-US

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’.


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.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses