1
JEE Main 2021 (Online) 25th February Morning Shift
+4
-1
Out of Syllabus
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 Shift
+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 Shift
+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
Out of Syllabus
The centre of the circle passing through the point (0, 1) and touching the parabola
y = x2 at the point (2, 4) is :
A
$$\left( {{6 \over 5},{{53} \over {10}}} \right)$$
B
$$\left( {{3 \over {10}},{{16} \over 5}} \right)$$
C
$$\left( {{{ - 53} \over {10}},{{16} \over 5}} \right)$$
D
$$\left( {{{ - 16} \over 5},{{53} \over {10}}} \right)$$
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