1
JEE Main 2021 (Online) 17th March Evening Shift
+4
-1
Out of Syllabus
Let L be a tangent line to the parabola y2 = 4x $$-$$ 20 at (6, 2). If L is also a tangent to the ellipse $${{{x^2}} \over 2} + {{{y^2}} \over b} = 1$$, then the value of b is equal to :
A
20
B
14
C
16
D
11
2
JEE Main 2021 (Online) 16th March Evening Shift
+4
-1
Out of Syllabus
Let C be the locus of the mirror image of a point on the parabola y2 = 4x with respect to the line y = x. Then the equation of tangent to C at P(2, 1) is :
A
x $$-$$ y = 1
B
2x + y = 5
C
x + 3y = 5
D
x + 2y = 4
3
JEE Main 2021 (Online) 16th March Morning Shift
+4
-1
Out of Syllabus
If the three normals drawn to the parabola, y2 = 2x pass through the point (a, 0) a $$\ne$$ 0, then 'a' must be greater than :
A
$${1 \over 2}$$
B
1
C
$$-$$1
D
$$-$$$${1 \over 2}$$
4
JEE Main 2021 (Online) 25th February Evening Shift
+4
-1
The shortest distance between the line x $$-$$ y = 1 and the curve x2 = 2y is :
A
0
B
$${1 \over 2{\sqrt 2 }}$$
C
$${1 \over {\sqrt 2 }}$$
D
$${1 \over 2}$$
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