1
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)
2
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
3
JEE Main 2019 (Online) 9th January Morning Slot
+4
-1
If $$\theta$$ denotes the acute angle between the curves, y = 10 – x2 and y = 2 + x2 at a point of their intersection, the |tan $$\theta$$| is equal to :
A
$$8 \over 15$$
B
$$4 \over 9$$
C
$$7 \over 17$$
D
$$8 \over 17$$
4
JEE Main 2018 (Online) 16th April Morning Slot
+4
-1
Out of Syllabus
Let P be a point on the parabola, x2 = 4y. If the distance of P from the center of the circle, x2 + y2 + 6x + 8 = 0 is minimum, then the equation of the tangent to the parabola at P, is :
A
x + 4y $$-$$ 2 = 0
B
x $$-$$ y + 3 = 0
C
x + y +1 = 0
D
x + 2y = 0
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