Mathematics - Circle Question with Solution | TestHub

MathematicsCircleGeneral, Basic geometries, Definition Diametrical form of circleMedium2 minQB

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Passage / Comprehension

For Q72-74: A lattice point has integer coordinates; a rational point has rational coordinates. Every lattice point is rational.

A lattice point has integer coordinates; a rational point has rational coordinates. Every lattice point is rational. How many lattice points lie strictly inside $x^{2} + y^{2} = 16$ ?

Options:

Answer:

Solution:

For $x = 0, \pm 1, \pm 2, \pm 3$ , the allowed $y$ counts are 7, 7, 7, 5 respectively. Total $7 + 2 (7 + 7 + 5) = 45$ .

Stream:JEESubject:MathematicsTopic:CircleSubtopic:General, Basic geometries, Definition Diametrical form of circle

⏱ 2mℹ️ Source: QB

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