Paragraph: Read the following write up carefully and answer the following questions: If a^2+ by ^2+2 hxy +2 gx +2 fy + c =0 represents an ellipse, then h ^2 ab and abc +2 fgh - af ^2- bg ^2- ch ^2 0 . If for every point ( x ₁, y ₁ ) satisfy

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Paragraph: Read the following write up carefully and answer the following questions: If a^2+ by ^2+2 hxy +2 gx +2 fy + c =0 represents an ellipse, then h ^2 ab and abc +2 fgh - af ^2- bg ^2- ch ^2 0 . If for every point ( x ₁, y ₁ ) satisfying above equation (2 h-x₁, 2 k-y₁ ) also satisfy it, then (h, k) is centre of it. The length of semi major axis and minor axis is nothing but the maximum and minimum value of the

Quantrex Academy · Accepted Answer

Correct answer: B. 8

Taking point (r , r ) , we get aligned & r^2= 3+ 2 3- 2 (2 + 4 ) & r_ = 3+ 2 3- 2 , r_ =1 aligned Max exist when 2 + 4 = 2 = 8

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