JEE Main 2021 — Circle Question with Solution
From: JEE Main 2021 (Online) 26th August Morning Shift
Question
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 _____________.
Enter your answer
Show full solutionCorrect answer: 16
Correct answer
16
Step-by-step explanation
Let point P(x, y)
A(0, 0), B(1, 0), C(0, 1), D(1, 1)
(PA)2 + (PB)2 + (PC)2 + (PD)2 = 18
= 18
A(0, 0), B(1, 0), C(0, 1), D(1, 1)
(PA)2 + (PB)2 + (PC)2 + (PD)2 = 18
= 18
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