Eqn of directrics x + y = 0 focus (0,1) e = 1/2 we have to find equation of ellipse
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x₁+1)² + (y₁-1)² = 1/4 [(x₁-y₁+3)/√(1+1)]²
8(x₁+1)² +8 (y₁-1)² = (x₁-y₁+3)²
7x₁²+2x₁y₁+7y₁²+10x₁-10y₁+7=0
Locus of (x₁,y₁) i.e., the equation of the required ellipse is
7x²+2xy+7y+10x-10y+7=0
8(x₁+1)² +8 (y₁-1)² = (x₁-y₁+3)²
7x₁²+2x₁y₁+7y₁²+10x₁-10y₁+7=0
Locus of (x₁,y₁) i.e., the equation of the required ellipse is
7x²+2xy+7y+10x-10y+7=0
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