1
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
$$\left( {4\sqrt 2 ,2\sqrt 2 } \right)$$
2
JEE Main 2019 (Online) 11th January Evening Slot
+4
-1
If a hyperbola has length of its conjugate axis equal to 5 and the distance between its foci is 13, then the eccentricity of the hyperbola is :
A
$${{13} \over 6}$$
B
2
C
$${{13} \over 12}$$
D
$${{13} \over 8}$$
3
JEE Main 2019 (Online) 11th January Evening Slot
+4
-1
If the area of the triangle whose one vertex is at the vertex of the parabola, y2 + 4(x – a2) = 0 and the othertwo vertices are the points of intersection of the parabola and y-axis, is 250 sq. units, then a value of 'a' is
A
$$5\sqrt 5$$
B
$${\left( {10} \right)^{2/3}}$$
C
$$5\left( {{2^{1/3}}} \right)$$
D
5
4
JEE Main 2019 (Online) 11th January Evening Slot
+4
-1
A circle cuts a chord of length 4a on the x-axis and passes through a point on the y-axis, distant 2b from the origin. Then the locus of the centre of this circle, is :
A
an ellipse
B
a parabola
C
a hyperbola
D
a straight line
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