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1
JEE Main 2021 (Online) 16th March Evening Shift
+4
-1
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
2
JEE Main 2021 (Online) 16th March Morning Shift
+4
-1
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
$$-$$$${1 \over 2}$$
3
JEE Main 2021 (Online) 16th March Morning Shift
+4
-1
The locus of the midpoints of the chord of the circle, x2 + y2 = 25 which is tangent to the hyperbola, $${{{x^2}} \over 9} - {{{y^2}} \over {16}} = 1$$ is :
A
(x2 + y2)2 $$-$$ 9x2 + 16y2 = 0
B
(x2 + y2)2 $$-$$ 9x2 + 144y2 = 0
C
(x2 + y2)2 $$-$$ 16x2 + 9y2 = 0
D
(x2 + y2)2 $$-$$ 9x2 $$-$$ 16y2 = 0
4
JEE Main 2021 (Online) 25th February Evening Shift
The shortest distance between the line x $$-$$ y = 1 and the curve x2 = 2y is :
$${1 \over 2{\sqrt 2 }}$$
$${1 \over {\sqrt 2 }}$$
$${1 \over 2}$$