The equation (x−α)2+(y−β)2=k(lx+my+n)2 represents a parabola for k (12+m2)−1 a point circle for k=0

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The equation {({x}-)}^{{2}}+{({y}-)}^{{2}}={k}{({l}{x}+{m}{y}+

Question

The equation $(x - α)^{2} + (y - β)^{2} = k (l x + m y + n)^{2}$ represents a parabola for $k < (l^{2} + m^{2})^{- 1}$ an ellipse for $0 < k M (l^{2} + m^{2})^{- 1}$ a hyperbola for $k > (1^{2} + m^{2})^{- 1}$ a point circle for $k = 0$

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Emily Discussed

The equation

(x - α)^{2} + (y - β)^{2} = k (l x + m y + n)^{2}

represents a parabola for

k < (l^{2} + m^{2})^{- 1}

an ellipse for

0 < k M (l^{2} + m^{2})^{- 1}

a hyperbola for

k > (1^{2} + m^{2})^{- 1}

a point circle for

k = 0

9 mins ago

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