Question

in the figure P and Q have coordinates 6 8 and 0 6 find the coordinates of R ​

Answer 1

{ Refer to the attachment for the required figure }

Answer:

  The coordinates of R is (- 18, 0)

Step-by-step explanation:

It is given that the coordinates of P and Q are (6, 8) and (0, 6) respectively.

Then the equation of the line PQ is

    (y - 8)/(8 - 6) = (x - 6)/(6 - 0)

or, (y - 8)/2 = (x - 6)/6

or, 3 (y - 8) = x - 6

or, 3y - 24 = x - 6

or, x - 3y = - 18

or, x/(- 18) + y/6 = 1 ..... (1)

In the given attachment, it is clear that the point R lying on the straight line PQ [ in (1) ] is on the x-axis.

From equation no. (1), we can conclude that the point (- 18, 0) is the point R.

∴ the coordinates of R is (- 18, 0)