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Question

The equation of the axes of the ellipse 4x2+3y28x+6y5=0, are

A
major axis is y+1=0
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B
minor axis is y+1=0
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C
minor axis is x=1
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D
major axis is x=1
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Solution

The correct option is D major axis is x=1
4x2+3y28x+6y5=0
4(x22x+1)+3(y2+2y+1)=5+3+4
4(x1)2+3(y+1)2=12
(x1)23+(y+1)24=1

Hence the axes of the ellipse is parallel to coordinate axes
centre is at (1,1)
From the equation b>a, so ellipse is vertical ellipse.
Hence y+1=0 will be minor axis and x=1 will be major axis.

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