1.

Find the eccentricity, distance between the foci, equation of the directrices, and the length and coordinates of the ends of the latusrectum of the ellipse 25x^(2)+16y^(2)=400.

Answer»


ANSWER :Eccentricity = `3/5`
Distance between the foci = 6
Equation of the directrices are `y=pma/e=pm 25/3" or "3y pm 25=0`
LENGTH of the latus RECTUM `=32/5`
The coordinates of the ENDS of the latera recta are `(16/5, 3), (-16/5, 3), (16/5, -3), ((-16)/5, -3)`.


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