Mathematics - Circle Question with Solution | TestHub

MathematicsCirclePosition of a point w.r.t a circle, Parametric equation of a circleMedium2 minQB

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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. Which listed form gives a rational point on $x^{2} + y^{2} = 1$ ?

Options:

Answer:

Solution:

The Pythagorean parametrisation in B has rational coordinates and squared norm 1 for rational $m, n$ not both zero. The other formulae do not generically satisfy both properties.

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Position of a point w.r.t a circle, Parametric equation of a circle

⏱ 2mℹ️ Source: QB

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