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UPSC NDA I 2023 Mathematics Solved Paper

Consider the following for the next two (02) items that follow :
Let A(1,−1,2) and B(2,1,−1) be the end points of the diameter of the sphere x2+y2+z2+2ux+2vy+2wz−1=0.

[NDA I 2023]

Question : 62

Total: 120

If P(x,y,z) is any point on the sphere, then what is PA2+PB2 equal to?

[NDA I 2023]

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