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The second degree equation x^2+4y^2-2x-4...

The second degree equation `x^2+4y^2-2x-4y+2=0` represents

A

a parabola

B

a pair of straight line

C

an ellipse

D

a hyperbola

Text Solution

Verified by Experts

The correct Answer is:
C
`Delta = |{:(a,h,g),(h,b,f),(g,f,c):}|=|{:(1,0,1),(0,4,8),(1,8,13):}| =- 16 ne 0`
`rArr` does not represent a pair of straight line. Again `h^(2) =0` and `ab = 4 rArr h^(2) lt ab`
`rArr` ellipse.
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