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JEE Advanced Mathematics question

MathematicsMatricesJEE Advanced

Let be points with integral 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 is

Answer: 7

Solution

From the second equation ; the first gives ; the third becomes , always true. So solutions are $(t,

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Question ID VK-110742