Question

The line joining the points (2,1) and (5,-8) is trisected by the points P and Q. If the point P lies on the line 2x-y+k = 0, fulind the value of k ​

Answer 1

$\textbf{Answer is in Attachment !}$

Answer 2

ANSWER

1)K= -8

when Coordinates of point P is (3,-2)

2)K = -13

when coordinate of point P is (4,-5)

Step By Step Explanation

Plz, refer to the attachment for a detailed answer.

1)st attachment is showing the first case

2)and 2nd attachment is showing the second case.

Remember

-To find the coordinates of a point in between two other points when the ratio and coordinates of other 2 points are given we use Section Formula.

-Section formula =>

P(x,y) ={$\dfrac{m1x2 + m2x1}{m1 + m2}$ , $\dfrac {m1y2 + m2y1}{m1+m2}$}

where m1 and m2 are the ratios in which P(x,y) divides the two points.