The semi-transverse axis of a hyperbola is and its eccentricity is .

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

Problem

The semi-transverse axis of a hyperbola is 55 and its eccentricity is 32\dfrac{3}{2}. (i) Find the distance of each focus from the centre. (ii) Determine the length of the semi-conjugate axis. (iii) Write the equation of the hyperbola in standard form.

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