The equation represents a hyperbola.

MATHEMATICS · Multi-part · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The equation 9x2−16y2=1449x^{2}-16y^{2}=144 represents a hyperbola. (a) Rewrite the equation in standard form. (b) Determine the values of a, ba,\,b and cc. (c) Find the coordinates of the vertices. (d) Find the coordinates of the foci. (e) Calculate the length of the latus rectum and the eccentricity of the hyperbola.

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