1
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
$${{4} \over {17}}$$
2
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$$\sqrt 2$$
3
JEE Main 2019 (Online) 11th January Evening Slot
+4
-1
Let the length of the latus rectum of an ellipse with its major axis along x-axis and centre at the origin, be 8. If the distance between the foci of this ellipse is equal to the length of its minor axis, then which one of the following points lies on it?
A
$$\left( {4\sqrt 2 ,2\sqrt 3 } \right)$$
B
$$\left( {4\sqrt 3 ,2\sqrt 3 } \right)$$
C
$$\left( {4\sqrt 3 ,2\sqrt 2 } \right)$$
D
$$\left( {4\sqrt 2 ,2\sqrt 2 } \right)$$
4
JEE Main 2019 (Online) 11th January Morning Slot
+4
-1
Out of Syllabus
If tangents are drawn to the ellipse x2 + 2y2 = 2 at all points on the ellipse other than its four vertices then the mid points of the tangents intercepted between the coordinate axes lie on the curve :
A
$${{{x^2}} \over 2} + {{{y^2}} \over 4} = 1$$
B
$${1 \over {2{x^2}}} + {1 \over {4{y^2}}} = 1$$
C
$${1 \over {4{x^2}}} + {1 \over {2{y^2}}} = 1$$
D
$${{{x^2}} \over 4} + {{{y^2}} \over 2} = 1$$
EXAM MAP
Medical
NEET