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Analytical Geometry

The equation x^2/(2-k)+y^2/(k-5)+1=0 represents an ellipse , if (a)k<5 (b)k<2 (c)25

Profile image of Shahid Shah
13 Years agoGrade
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1 Answer

Profile image of masu mounika
13 Years ago

answer

x^2/(2-k)+y^2/(k-5)=-1

x^2/(k-2)+y^2/(5-k)=1

where "a"is the semi major axis a^2=k-2

k=a^2+2   (k>2)

"b" is semi minor axis b^2=5-k

k=5-b^2     (k<5)

so answer is (a)