Q. 10 D5.0( 3 Votes )

# Find the ce

Given that we need to find the centre, lengths of axes, eccentricity and foci of the ellipse 3x2 + 4y2 - 12x - 8y + 4 = 0. 3x2 + 4y2 - 12x - 8y + 4 = 0

3(x2 - 4x + 4) + 4(y2 - 2y + 1) - 12 = 0

3(x - 2)2 + 4(y - 1)2 = 12  Comparing with the standard form Centre = (p,q) = (2,1)

Here a2>b2

eccentricity(e) =    Length of the major axis 2a = 2(2) = 4

Length of the minor axis 2b = = 2 Foci = (p±ae,q)

Foci = Foci = Foci = (3,1) and (1,1)

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