1
JEE Main 2019 (Online) 10th January Morning Slot
+4
-1
Out of Syllabus
If the parabolas y2 = 4b(x – c) and y2 = 8ax have a common normal, then which on of the following is a valid choice for the ordered triad (a, b, c)?
A
(1, 1, 3)
B
(1, 1, 0)
C
$$\left( {{1 \over 2},2,0} \right)$$
D
$$\left( {{1 \over 2},2,3} \right)$$
2
JEE Main 2019 (Online) 9th January Evening Slot
+4
-1
Let A(4, $$-$$ 4) and B(9, 6) be points on the parabola, y2 = 4x. Let C be chosen on the arc AOB of the parabola, where O is the origin, such that the area of $$\Delta$$ACB is maximum. Then, the area (in sq. units) of $$\Delta$$ACB, is :
A
$$31{1 \over 4}$$
B
$$30{1 \over 2}$$
C
32
D
$$31{3 \over 4}$$
3
JEE Main 2019 (Online) 9th January Morning Slot
+4
-1
Axis of a parabola lies along x-axis. If its vertex and focus are at distances 2 and 4 respectively from the origin, on the positive x-axis then which of the following points does not lie on it?
A
(5, 2$$\sqrt 6$$)
B
(6, 4$$\sqrt 2$$)
C
(8, 6)
D
(4, -4)
4
JEE Main 2019 (Online) 9th January Morning Slot
+4
-1
Out of Syllabus
Equation of a common tangent to the circle, x2 + y2 – 6x = 0 and the parabola, y2 = 4x is :
A
$$2\sqrt 3$$y = 12x + 1
B
$$\sqrt 3$$y = x + 3
C
$$2\sqrt 3$$y = -x - 12
D
$$\sqrt 3$$y = 3x + 1
EXAM MAP
Medical
NEET