If the foci of a conic are at with centre at the origin

MATHEMATICS · Single correct · ISC · Mathematics · Coordinate Geometry · Ellipse

Problem

If the foci of a conic are at (0,\pmc)(0,\text{\textpm} c) with centre at the origin, which of the following is its standard equation? (a) y2a2−x2b2=1\dfrac{y^{2}}{a^{2}}-\dfrac{x^{2}}{b^{2}}=1 (b) x2a2−y2b2=1\dfrac{x^{2}}{a^{2}}-\dfrac{y^{2}}{b^{2}}=1 (c) y2a2+x2b2=1\dfrac{y^{2}}{a^{2}}+\dfrac{x^{2}}{b^{2}}=1 (d) y2b2−x2a2=1\dfrac{y^{2}}{b^{2}}-\dfrac{x^{2}}{a^{2}}=1

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