1
JEE Main 2019 (Online) 12th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
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) 10th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
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
$${1 \over 2}$$
3
JEE Main 2019 (Online) 9th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
The area (in sq. units) of the smaller of the two circles that touch the parabola, y2 = 4x at the point (1, 2) and the x-axis is :-
A
$$4\pi \left( {3 +\sqrt 2 } \right)$$
B
$$8\pi \left( {2 - \sqrt 2 } \right)$$
C
$$8\pi \left( {3 - 2\sqrt 2 } \right)$$
D
$$4\pi \left( {2 - \sqrt 2 } \right)$$
4
JEE Main 2019 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
If one end of a focal chord of the parabola, y2 = 16x is at (1, 4), then the length of this focal chord is :
A
24
B
20
C
25
D
22
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