Q44 of 63 Page 202

Fill in the Blanks

The equation of the ellipse having foci (0, 1), (0, –1) and minor axis of length 1 is_________ .

Foci = (0, ±ae) = (0, ±1)


be = 1


Minor Axis = 2a = 1, a = 0.5


a2 = b2 (1 - e2 )


(0.5)2 = b2 (1 - e2)


0.25 = b2 - b2e2


0.25 = b2 - 1 {As be = 1}



Equation of ellipse is,


Hence, the required equation is .


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