a line intersects y-axis and x axis at the points p and q respectiviely .if 2,-5, is the mid point of pq then find the coordinate of p and q
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p intersects y-axis ⇒ (0,y)
q intersects x-axis ⇒ (x,0)
Midpoint of p,q = (2,-5)
⇒ x1+x2/2 , y1+y2/2 = 2,-5
0+x/2 , y+0/2 = 2,-5
x/2 = 2 and y/2 = -5
⇒ x =4 and y = -10
Coordinates of p = (0,-10) and q = (4,0)
q intersects x-axis ⇒ (x,0)
Midpoint of p,q = (2,-5)
⇒ x1+x2/2 , y1+y2/2 = 2,-5
0+x/2 , y+0/2 = 2,-5
x/2 = 2 and y/2 = -5
⇒ x =4 and y = -10
Coordinates of p = (0,-10) and q = (4,0)
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