Question

6. If x - 2y + k = 0 is a median of the triangle whose vertices are at the points Al- 1, 3),
B(0, 4) and C(-5,2). Find the value of k.
7. Find the coordinates of the mid-point of the line segment joining the points A(-5,4) and B(7, – 8).
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Answer 1

Answer:

6: k = 8

7: (1,-2)

Step-by-step explanation:

6: The coordinates of the centroid G of △ABC are

( -1+0-5/3), (3+4+2/2) , i.e. (-2. 3)

Since G lies on the median x-2y+k+0. So, coordinates of G satisfy its equation.

∴−2−6+k=0⇒k=8

7: A (-5, 4) , B (7,-8)

x= x1+x2/2 , y = y1+y2/2

x= -5+7/2 , y = -8+4/2

x= 2/2 = 1 , y = -4/2 = -2

(1,-2) is the required coordinate