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 Evening Slot
+4
-1
A normal to the hyperbola, 4x2 $$-$$ 9y2 = 36 meets the co-ordinate axes $$x$$ and y at A and B, respectively. If the parallelogram OABP (O being the origin) is formed, then the ocus of P is :
A
4x2 + 9y2 = 121
B
9x2 + 4y2 = 169
C
4x2 $$-$$ 9y2 = 121
D
9x2 $$-$$ 4y2 = 169
3
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
If the tangents drawn to the hyperbola 4y2 = x2 + 1 intersect the co-ordinate axes at the distinct points A and B then the locus of the mid point of AB is :
A
x2 $$-$$ 4y2 + 16x2y2 = 0
B
x2 $$-$$ 4y2 $$-$$ 16x2y2 = 0
C
4x2 $$-$$ y2 + 16x2y2 = 0
D
4x2 $$-$$ y2 $$-$$ 16x2y2 = 0
4
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
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
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