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Let (x, y, z) be points with integer coordinates satisfying the system of homogeneous equations: 3x + y - z = 0; -3x + z = 0; -3x + 2y + z = 0. Then the number of such points for which x2 + y2 + z2 ≤ 100 is
Correct answer is '7'. Can you explain this answer?
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Most Upvoted Answer
Let (x, y, z) be points with integer coordinates satisfying the syst...
gives y = 0 and z = 3xWe have, x2 + y2 + z2 ≤ 100
⇒ x2 + 9x2 ≤ 100 ⇒ 10x2 ≤ 100
⇒ x2 ≤ 10
⇒ |x| ≤ 3
⇒ -3 ≤ x ≤ 3
Then, these are 3 - (-3) + 1 = 7 integral points.
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Let (x, y, z) be points with integer coordinates satisfying the syst...
gives y = 0 and z = 3xWe have, x2 + y2 + z2 ≤ 100
⇒ x2 + 9x2 ≤ 100 ⇒ 10x2 ≤ 100
⇒ x2 ≤ 10
⇒ |x| ≤ 3
⇒ -3 ≤ x ≤ 3
Then, these are 3 - (-3) + 1 = 7 integral points.
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Let (x, y, z) be points with integer coordinates satisfying the system of homogeneous equations: 3x + y - z = 0; -3x + z = 0; -3x + 2y + z = 0. Then the number of such points for which x2 + y2 + z2 ≤ 100 isCorrect answer is '7'. Can you explain this answer?
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Let (x, y, z) be points with integer coordinates satisfying the system of homogeneous equations: 3x + y - z = 0; -3x + z = 0; -3x + 2y + z = 0. Then the number of such points for which x2 + y2 + z2 ≤ 100 isCorrect answer is '7'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let (x, y, z) be points with integer coordinates satisfying the system of homogeneous equations: 3x + y - z = 0; -3x + z = 0; -3x + 2y + z = 0. Then the number of such points for which x2 + y2 + z2 ≤ 100 isCorrect answer is '7'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let (x, y, z) be points with integer coordinates satisfying the system of homogeneous equations: 3x + y - z = 0; -3x + z = 0; -3x + 2y + z = 0. Then the number of such points for which x2 + y2 + z2 ≤ 100 isCorrect answer is '7'. Can you explain this answer?.
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