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Vectors and matrices — Question 8

QCAA 2023, Paper 1 · 1 mark

Q8 · 2023 · Technology-freeSimple familiar1 mark

QUESTION 8

Point AA is the centre of a sphere and point BB lies on its surface as shown.
The equation of the sphere is
Sphere centred at A(1, 0, -1) with point B(1, -3, -5) on its surface.
(A)
x2−2x+y2+z2+2z=23x^2-2x+y^2+z^2+2z=23
(B)
x2+2x+y2+z2−2z=23x^2+2x+y^2+z^2-2z=23
(C)
x2−2x+y2+z2+2z=25x^2-2x+y^2+z^2+2z=25
(D)
x2+2x+y2+z2−2z=25x^2+2x+y^2+z^2-2z=25
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