Vectors in three dimensions — Question 33
Original QCE Vault practice · 1 mark
Q33 · Practice questionSimple familiar1 mark
QUESTION 33
The sphere x2+y2+z2−4x+6y−2z=11 has centre and radius (A)(2,−3,1), 5 (B)(−2,3,−1), 5 (C)(2,−3,1), 25 (D)(4,−6,2), 5 WORKED SOLUTION
Answer A
1 markWorked solution
Completing the squares gives (x−2)2+(y+3)2+(z−1)2=25. The centre is (2,−3,1) and the radius is 25=5. Selects the correct option.
[1 mark]Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.
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