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
Let $$0 < \theta < {\pi \over 2}$$. If the eccentricity of the

hyperbola $${{{x^2}} \over {{{\cos }^2}\theta }} - {{{y^2}} \over {{{\sin }^2}\theta }}$$ = 1 is greater

than 2, then the length of its latus rectum lies in the interval :
A
(3, $$\infty$$)
B
$$\left( {{3 \over 2},2} \right]$$
C
$$\left( {1,{3 \over 2}} \right]$$
D
$$\left( {2,3} \right]$$
3
JEE Main 2019 (Online) 9th January Morning Slot
+4
-1
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
4
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
$$8 \over 17$$
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