1
JEE Main 2019 (Online) 9th April Evening Slot
+4
-1
Out of Syllabus
If the tangent to the parabola y2 = x at a point ($$\alpha$$, $$\beta$$), ($$\beta$$ > 0) is also a tangent to the ellipse, x2 + 2y2 = 1, then $$\alpha$$ is equal to :
A
$$\sqrt 2 + 1$$
B
$$\sqrt 2 - 1$$
C
$$2\sqrt 2 + 1$$
D
$$2\sqrt 2 - 1$$
2
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
In an ellipse, with centre at the origin, if the difference of the lengths of major axis and minor axis is 10 and one of the foci is at (0,5$$\sqrt 3$$), then the length of its latus rectum is :
A
5
B
8
C
10
D
6
3
JEE Main 2019 (Online) 8th April Morning Slot
+4
-1
Out of Syllabus
If the tangents on the ellipse 4x2 + y2 = 8 at the points (1, 2) and (a, b) are perpendicular to each other, then a2 is equal to :
A
$${{2} \over {17}}$$
B
$${{64} \over {17}}$$
C
$${{128} \over {17}}$$
D
$${{4} \over {17}}$$
4
JEE Main 2019 (Online) 12th January Evening Slot
+4
-1
Let S and S' be the foci of an ellipse and B be any one of the extremities of its minor axis. If $$\Delta$$S'BS is a right angled triangle with right angle at B and area ($$\Delta$$S'BS) = 8 sq. units, then the length of a latus rectum of the ellipse is :
A
2
B
4$$\sqrt 2$$
C
4
D
2$$\sqrt 2$$
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