1
JEE Main 2019 (Online) 12th April Morning Slot
+4
-1
Let P be the point of intersection of the common tangents to the parabola y2 = 12x and the hyperbola 8x2 – y2 = 8. If S and S' denote the foci of the hyperbola where S lies on the positive x-axis then P divides SS' in a ratio :
A
14 : 13
B
13 : 11
C
5 : 4
D
2 : 1
2
JEE Main 2019 (Online) 12th April Morning Slot
+4
-1
If the normal to the ellipse 3x2 + 4y2 = 12 at a point P on it is parallel to the line, 2x + y = 4 and the tangent to the ellipse at P passes through Q(4,4) then PQ is equal to :
A
$${{\sqrt {61} } \over 2}$$
B
$${{\sqrt {221} } \over 2}$$
C
$${{\sqrt {157} } \over 2}$$
D
$${{5\sqrt 5 } \over 2}$$
3
JEE Main 2019 (Online) 10th April Evening Slot
+4
-1
If 5x + 9 = 0 is the directrix of the hyperbola 16x2 – 9y2 = 144, then its corresponding focus is :
A
$$\left( {{5 \over 3},0} \right)$$
B
(5, 0)
C
(- 5, 0)
D
$$\left( { - {5 \over 3},0} \right)$$
4
JEE Main 2019 (Online) 10th April Evening Slot
+4
-1
If the line ax + y = c, touches both the curves x2 + y2 = 1 and y2 = 4$$\sqrt 2$$x , then |c| is equal to :
A
2
B
$$\sqrt 2$$
C
$${1 \over {\sqrt 2 }}$$
D
$${1 \over 2}$$
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