1
JEE Main 2021 (Online) 25th February Morning Slot
+4
-1
A tangent is drawn to the parabola y2 = 6x which is perpendicular to the line 2x + y = 1. Which of the following points does NOT lie on it?
A
(0, 3)
B
($$-$$6, 0)
C
(4, 5)
D
(5, 4)
2
JEE Main 2021 (Online) 24th February Evening Slot
+4
-1
If P is a point on the parabola y = x2 + 4 which is closest to the straight line y = 4x $$-$$ 1, then the co-ordinates of P are :
A
($$-$$2, 8)
B
(2, 8)
C
(1, 5)
D
(3, 13)
3
JEE Main 2021 (Online) 24th February Morning Slot
+4
-1
The locus of the mid-point of the line segment joining the focus of the parabola y2 = 4ax to a moving point of the parabola, is another parabola whose directrix is :
A
x = 0
B
x = - $${a \over 2}$$
C
x = a
D
x = $${a \over 2}$$
4
JEE Main 2020 (Online) 6th September Evening Slot
+4
-1
If the normal at an end of a latus rectum of an ellipse passes through an extremity of the minor axis, then the eccentricity e of the ellipse satisfies :
A
e4 + 2e2 – 1 = 0
B
e4 + e2 – 1 = 0
C
e2 + 2e – 1 = 0
D
e2 + e – 1 = 0
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