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Questions
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1
JEE Main 2021 (Online) 25th February Evening Shift
MCQ (Single Correct Answer)
+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
$${1 \over 2}$$
2
JEE Main 2021 (Online) 25th February Evening Shift
MCQ (Single Correct Answer)
+4
-1
A hyperbola passes through the foci of the ellipse $${{{x^2}} \over {25}} + {{{y^2}} \over {16}} = 1$$ and its transverse and conjugate axes coincide with major and minor axes of the ellipse, respectively. If the product of their eccentricities is one, then the equation of the hyperbola is :
A
$${{{x^2}} \over 9} - {{{y^2}} \over 4} = 1$$
B
$${{{x^2}} \over 9} - {{{y^2}} \over 16} = 1$$
C
$${{{x^2}} \over 9} - {{{y^2}} \over 25} = 1$$
D
x2 $$-$$ y2 = 9
3
JEE Main 2021 (Online) 25th February Morning Slot
MCQ (Single Correct Answer)
+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)
4
JEE Main 2021 (Online) 24th February Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
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)
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