1.

(i) Show that equation (x^(2))/(9 - c) + (y^(2))/(5 - c) = 1 represents (a) an ellipse if c is a real constantless than 5 (b) a hyperbola if c is any real constantbetween 5 and 9 (ii) Show that each ellipse in (a)and each hyperbola in (b) has foci at the two points (pm 2, 0), independentof the value of c.

Answer»


ANSWER :(i)a) `:. c lt9, c lt 5 rArr c lt 5`
b) `9 - c GT 0 and 5 - c lt 0rArr 9 gt c and 5 lt c rArr 5 lt c lt 9`
(ii) a)2
2


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