1
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
2
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
Out of Syllabus
Two parabolas with a common vertex and with axes along x-axis and $$y$$-axis, respectively intersect each other in the first quadrant. If the length of the latus rectum of each parabola is $$3$$, then the equation of the common tangent to the two parabolas is :
A
4(x + y) + 3 = 0
B
3(x + y) + 4 = 0
C
8(2x + y) + 3 = 0
D
x + 2y + 3 = 0
3
JEE Main 2017 (Online) 9th April Morning Slot
+4
-1
Out of Syllabus
If y = mx + c is the normal at a point on the parabola y2 = 8x whose focal distance is 8 units, then $$\left| c \right|$$ is equal to :
A
$$2\sqrt 3$$
B
$$8\sqrt 3$$
C
$$10\sqrt 3$$
D
$$16\sqrt 3$$
4
JEE Main 2017 (Online) 8th April Morning Slot
+4
-1
Out of Syllabus
If the common tangents to the parabola, x2 = 4y and the circle, x2 + y2 = 4 intersect at the point P, then the distance of P from the origin, is :
A
$$\sqrt 2 + 1$$
B
2(3 + 2 $$\sqrt 2$$)
C
2($$\sqrt 2$$ + 1)
D
3 + 2$$\sqrt 2$$
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