plot the points P(0,0)Q(5,0)R(7,3)S(2,3) certesian plane and identify the figure PQRS
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Answer:
From the figure,
Distance of SR=QR
Given p(1,0) ,Q(5,0) and S(2,3)
(x−2)
2
+(y−3)
2
=
(x−5)
2
+(y−0)
2
Squaring on both sides,
(x−2)
2
+(y−3)
2
=(x−5)
2
+(y−0)
2
x
2
−4x+4+y
2
−6y+9=x
2
−10x+25+
2
−4x−6y+13=−10x+25
⟹6x−6y−12=0
⟹x−y−2=0x−y=2
when x=6,y=4
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