A student substitutes the coordinates of the point into the equation of the hyperbola…

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

A student substitutes the coordinates of the point

(3,2)

into the equation of the hyperbola

\dfrac{x^{2}}{25}-\dfrac{y^{2}}{9}=1

and obtains

\frac{9}{25}-\frac{4}{9}=-\frac{11}{225}

. Explain why this result shows that the point

(3,2)

does not lie on the hyperbola.