If P(3.4) and Q7, 7) are two points and PR = 10, where P, Q and R are collinear, then R
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Answer:
R ( 11 , 10 )
Step-by-step explanation:
Given:
P = ( 3, 4 ) and Q = ( 7, 7 )
Let R ( x, y )
Let us first find out the distance between P and Q
PQ = √ (y2 – y1 )² + (x2 – x1)²
PQ = √ (7 – 4 )² + ( 7 – 3 )²
PQ = √ 9 + 16
PQ = √ 25
PQ = 5 units
But it is given that PR = 10 units
Therefore Point P lies first then Q and then R
distance QR = 10 – 5 = 5 units
Since PQ = QR = 5 units
Hence Q is the mid point of PR
using mid point formula
7 = ( 3 + x ) /2
14 = 3 + x
11 = x
and
7 = ( 4 + y ) / 2
14 = 4 + y
10 = y
Hence point R is ( 11, 10 )
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