1
JEE Main 2020 (Online) 2nd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The area (in sq. units) of an equilateral triangle inscribed in the parabola y2 = 8x, with one of its vertices on the vertex of this parabola, is :
A
$$256\sqrt 3 $$
B
$$64\sqrt 3 $$
C
$$128\sqrt 3 $$
D
$$192\sqrt 3 $$
2
JEE Main 2020 (Online) 9th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If one end of a focal chord AB of the parabola y2 = 8x is at $$A\left( {{1 \over 2}, - 2} \right)$$, then the equation of the tangent to it at B is :
A
2x – y – 24 = 0
B
x – 2y + 8 = 0
C
x + 2y + 8 = 0
D
2x + y – 24 = 0
3
JEE Main 2020 (Online) 8th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The locus of a point which divides the line segment joining the point (0, –1) and a point on the parabola, x2 = 4y, internally in the ratio 1 : 2, is :
A
9x2 – 3y = 2
B
4x2 – 3y = 2
C
x2 – 3y = 2
D
9x2 – 12y = 8
4
JEE Main 2020 (Online) 7th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If y = mx + 4 is a tangent to both the parabolas, y2 = 4x and x2 = 2by, then b is equal to :
A
-128
B
128
C
-64
D
-32
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