If the equation - x 2 -4y -y2- x-3y-2-0 represent a parabola then find - -

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General Equation of Parabola

If the equati...

Question

If the equation $λ x^{2} + 4 y + y^{2} + λ x + 3 y + 2 = 0$ represent a parabola then find $λ$ ?

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λ x^{2} + 4 x y + y^{2} + λ x + 3 y + 2 = 0

λ x^{2} + 4 x y + y^{2} + λ x + 3 y + 2 = 0

λ x^{2} + 4 x y + y^{2} + λ x + 3 y + 2 = 0

λ

\sqrt{(x + 5)^{2} + (y + 2)^{2}} = \sqrt{λ} (x + \sqrt{3} y + 3)

\frac{1}{λ} =

(a) If the equation $λ x^{2} 4 x y + y^{2} + λ x + 3 y + 2 = 0$ represents a parabola then find

(b) Find the length of latus rectum of the parabola $169 {(x - 1)^{2} + {(y - 3)}^{2}} = (5 x - 12 y + 17)^{2} .$

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