1
JEE Main 2020 (Online) 4th September Evening Slot
+4
-1
Let x = 4 be a directrix to an ellipse whose centre is at the origin and its eccentricity is $${1 \over 2}$$. If P(1, $$\beta$$), $$\beta$$ > 0 is a point on this ellipse, then the equation of the normal to it at P is :
A
4x – 3y = 2
B
8x – 2y = 5
C
7x – 4y = 1
D
4x – 2y = 1
2
JEE Main 2020 (Online) 4th September Morning Slot
+4
-1
Let P(3, 3) be a point on the hyperbola,
$${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$. If the normal to it at P intersects the x-axis at (9, 0) and e is its eccentricity, then the ordered pair (a2, e2) is equal to :
A
$$\left( {{9 \over 2},2} \right)$$
B
$$\left( {{3 \over 2},2} \right)$$
C
(9,3)
D
$$\left( {{9 \over 2},3} \right)$$
3
JEE Main 2020 (Online) 4th September Morning Slot
+4
-1
Let $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1$$ (a > b) be a given ellipse, length of whose latus rectum is 10. If its eccentricity is the maximum value of the function,
$$\phi \left( t \right) = {5 \over {12}} + t - {t^2}$$, then a2 + b2 is equal to
A
145
B
126
C
135
D
116
4
JEE Main 2020 (Online) 3rd September Evening Slot
+4
-1
Let the latus ractum of the parabola y2 = 4x be the common chord to the circles C1 and C2 each of them having radius 2$$\sqrt 5$$. Then, the distance between the centres of the circles C1 and C2 is :
A
8
B
12
C
$$8\sqrt 5$$
D
$$4\sqrt 5$$
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