Ellipse

Section: Mathematics

Question : 7 of 25

Marks: +1, -0

Consider two straight lines, each of which is tangent to both the circle x2+y2=

and the parabola y2=4x.Let these lines intersect at the point Q. Consider the ellipse whose center is at the origin O(0, 0) and whose semi-major axis is OQ. If the length of the minor axis of this ellipse is √2,then the which of the following statement(s) is (are) TRUE?

[JEE Adv 2018 P2]

For the ellipse, the eccentricity is
1
√2
and the length of the latus rectum is 1
For the ellipse, the eccentricity is
1
2
and the length of the latus rectum is
1
2
The area of the region bounded by the ellipse between the lines x=
1
√2
and x=1 is
1
4√2
(π−2)
The area of the region bounded by the ellipse between the lines x=
1
√2
and x=1 is
1
16
(π−2)

Validate

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