P is the point (-3,4), Q is the point (5,1).
(a) M is the midpoint of PQ
Find the coordinates of M.
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P is the point (-3,4), Q is the point (5,1).
(a) M is the midpoint of PQ
Find the coordinates of M.
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Given the points S(1,6),(1,2) and M(5,2)
M is the mid point of PQ
⇒ Consider the coordinates off Q to be,(x,y)
(
2
1+x
,
2
2+y
)=(5,2)
2
1+x
=5⟹x=9
∴ Coordinates of Q=(9,2)
2
2+y
2⟹y=2
To find the coordinate of R.
distance of SR = distance of QR
⟹
(x−1)
2
+(y−6)
2
=
(x−9)
2
+(y−2)
2
Squaring on both sides,
x 2 _2x+1+y
2
−12y+36=x
2
−18x+81+y
2
−4xy+4
−2x−12y+37=−18x−4y+85
16x−8y−48=0
⟹2x−y−6=0
when x=918−y−6=0
⟹y=12
when y=6,x=6
∴ The coordinates of R =(6,6)
Answer:
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