1
JEE Main 2019 (Online) 9th April Evening Slot
+4
-1
If the tangent to the parabola y2 = x at a point ($$\alpha$$, $$\beta$$), ($$\beta$$ > 0) is also a tangent to the ellipse, x2 + 2y2 = 1, then $$\alpha$$ is equal to :
A
$$\sqrt 2 + 1$$
B
$$\sqrt 2 - 1$$
C
$$2\sqrt 2 + 1$$
D
$$2\sqrt 2 - 1$$
2
JEE Main 2019 (Online) 9th April Evening Slot
+4
-1
The area (in sq. units) of the smaller of the two circles that touch the parabola, y2 = 4x at the point (1, 2) and the x-axis is :-
A
$$4\pi \left( {3 +\sqrt 2 } \right)$$
B
$$8\pi \left( {2 - \sqrt 2 } \right)$$
C
$$8\pi \left( {3 - 2\sqrt 2 } \right)$$
D
$$4\pi \left( {2 - \sqrt 2 } \right)$$
3
JEE Main 2019 (Online) 9th April Morning Slot
+4
-1
If the line y = mx + 7$$\sqrt 3$$ is normal to the hyperbola $${{{x^2}} \over {24}} - {{{y^2}} \over {18}} = 1$$ , then a value of m is
A
$${3 \over {\sqrt 5 }}$$
B
$${{\sqrt 15 } \over 2}$$
C
$${{\sqrt 5 } \over 2}$$
D
$${2 \over {\sqrt 5 }}$$
4
JEE Main 2019 (Online) 9th April Morning Slot
+4
-1
If one end of a focal chord of the parabola, y2 = 16x is at (1, 4), then the length of this focal chord is
A
24
B
20
C
25
D
22
JEE Main Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
EXAM MAP
Joint Entrance Examination