a( -11,7 ) and b ( -10, 6) are the points of the trisection of the line segment PQ .find the coordinate of p and q?
Answers
Given : A( -11,7 ) and B ( -10, 6) are the points of the trisection of the line segment PQ
To Find : Coordinate of P and Q
Solution:
P A B Q
(Px , Py) (-11, 7) (-10 , 6) (Qx , Qy)
A( -11,7 ) and B ( -10, 6) are the points of the trisection of the line segment PQ
=> PA = AB = BQ = PQ/3
PA = AB
=> A is mid point of P & B
=> - 11 = ( Px - 10)/2 , 7 = ( Py + 6)/2
=> -22 = Px - 10 , 14 = Py + 6
=> Px = - 12 , Py = 8
P = ( -12 , 8)
AB = BQ
B is mid point of A & Q
=> -10 = (-11 + Qx)/2 => -20 = -11 + Qx => Qx = -9
& 6 = ( 7 + Qy)/2 => 12 = 7 + Qy => Qy = 5
Q = ( - 9 , 5)
P A B Q
(-12 , 8) (-11, 7) (-10 , 6) (-9 , 5)
P = ( -12 , 8)
Q = ( - 9 , 5)
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