1
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
$$8 \over 17$$
2
JEE Main 2018 (Online) 16th April Morning Slot
+4
-1 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
3
JEE Main 2018 (Offline)
+4
-1
Tangent and normal are drawn at P(16, 16) on the parabola y2 = 16x, which intersect the axis of the parabola at A and B, respectively. If C is the centre of the circle through the points P, A and B and $$\angle$$CPB = $$\theta$$, then a value of tan$$\theta$$ is :
A
$${4 \over 3}$$
B
$${1 \over 2}$$
C
2
D
3
4
JEE Main 2018 (Online) 15th April Evening Slot
+4
-1 Tangents drawn from the point ($$-$$8, 0) to the parabola y2 = 8x touch the parabola at $$P$$ and $$Q.$$ If F is the focus of the parabola, then the area of the triangle PFQ (in sq. units) is equal to :
A
24
B
32
C
48
D
64
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