Let P(x,y) be the required point. Then,
x2+y2+(x−0)2+(y−1)2+(x−1)2+(y−0)2+(x−1)2+(y−1)2=18
⇒4x2+4y2−4x−4y+4=18
⇒x2+y2−x−y−414=0
Centre≡(21,21) and
Radius,r=41+41+414=2units
So,
d=2r=2×2=4
⇒d2=16
The locus of a point, which moves such that the sum of squares of its distances from the points (0,0),(1,0),(0,1)(1,1) is 18 units, is a circle of diameter d. Then d2 is equal to
Held on 26 Aug 2021 · Verified 6 Jul 2026.
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