An ellipse whose major axes is parallel to x -axis is such that the segment of a focal chord are of length 1 and 3 unit. The family of lines a x+b y+c=0 are the chords of the ellipse such that a, b, c are in A \cdot P. and bisected by the point at which they are concurrent and the equation of auxiliary circle is. x^{2}+y^{2}+2 \alpha x+2 \beta y-2 \alpha+1=0, then make all the correct alternative(s)

The equation of the auxiliary circle is x^{2}+y^{2}-2 x+4 y+1=0

Eccentricity of ellipse if \frac{1}{2}

Length of major axis are 4, \sqrt{3}

Eccentricity of the ellipse is \frac\sqrt{3}{2}

JEE Advanced 2020 Full Test 2 Paper 1

Question : 48 of 54

Marks: +1, -0

An ellipse whose major axes is parallel to x -axis is such that the segment of a focal chord are of length 1 and 3 unit. The family of lines ax+by+c=0 are the chords of the ellipse such that a,b,c are in A⋅P. and bisected by the point at which they are concurrent and the equation of auxiliary circle is. x2+y2+2αx+2βy−2α+1=0, then make all the correct alternative(s)

The equation of the auxiliary circle is x2+y2−2x+4y+1=0
Eccentricity of ellipse if ‌
1
2
Length of major axis are 4,√3
Eccentricity of the ellipse is ‌
√3
2

Validate

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