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Consider a sphere passing through the origin and the points (2 ,1 , - 1 ) , (1 ,5 , - 4 ) , ( - 2 , 4 , - 6).
Consider the following statements:
1. The sphere passes through the point (0,4,0).
2. The point (1, 1, 1) is at a distance of 5 unit from the centre of the sphere.
Q. Which of the above statements is/are correct ?
  • a)
    1 only
  • b)
    2 only
  • c)
    Both 1 and 2
  • d)
    Neither 1 nor 2
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Consider a sphere passing through the origin and the points (2 ,1 , - ...
1) Equation of sphere is
x2 + y2 + z2 + 2x-4y + 6z = 0
Put the value (0,4,0),we get
0+16+0+0-16+0 = 0
So, the sphere passes through the point (0,4,0).
Hence, Statement 1 is correct.
2. Distance between the point (1, 1, 1) and centre of sphere (-1,2,-3)

Hence, statement 2 is not correct.
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Consider a sphere passing through the origin and the points (2 ,1 , - 1 ) , (1 ,5 , - 4 ) , ( - 2 , 4 , - 6).Consider the following statements:1. The sphere passes through the point (0,4,0).2. The point (1, 1, 1) is at a distance of 5 unit from the centre of the sphere.Q. Which of the above statements is/are correct ?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'A'. Can you explain this answer?
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Consider a sphere passing through the origin and the points (2 ,1 , - 1 ) , (1 ,5 , - 4 ) , ( - 2 , 4 , - 6).Consider the following statements:1. The sphere passes through the point (0,4,0).2. The point (1, 1, 1) is at a distance of 5 unit from the centre of the sphere.Q. Which of the above statements is/are correct ?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Consider a sphere passing through the origin and the points (2 ,1 , - 1 ) , (1 ,5 , - 4 ) , ( - 2 , 4 , - 6).Consider the following statements:1. The sphere passes through the point (0,4,0).2. The point (1, 1, 1) is at a distance of 5 unit from the centre of the sphere.Q. Which of the above statements is/are correct ?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a sphere passing through the origin and the points (2 ,1 , - 1 ) , (1 ,5 , - 4 ) , ( - 2 , 4 , - 6).Consider the following statements:1. The sphere passes through the point (0,4,0).2. The point (1, 1, 1) is at a distance of 5 unit from the centre of the sphere.Q. Which of the above statements is/are correct ?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'A'. Can you explain this answer?.
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