1
JEE Main 2020 (Online) 6th September Morning Slot
+4
-1
Out of Syllabus
Which of the following points lies on the locus of the foot of perpedicular drawn upon any tangent to the ellipse,
$${{{x^2}} \over 4} + {{{y^2}} \over 2} = 1$$
from any of its foci?
A
$$\left( { - 1,\sqrt 3 } \right)$$
B
$$\left( { - 2,\sqrt 3 } \right)$$
C
$$\left( { - 1,\sqrt 2 } \right)$$
D
$$\left( {1,2 } \right)$$
2
JEE Main 2020 (Online) 5th September Morning Slot
+4
-1
If the co-ordinates of two points A and B
are $$\left( {\sqrt 7 ,0} \right)$$ and $$\left( { - \sqrt 7 ,0} \right)$$ respectively and
P is any point on the conic, 9x2 + 16y2 = 144, then PA + PB is equal to :
A
8
B
9
C
16
D
6
3
JEE Main 2020 (Online) 4th September Evening Slot
+4
-1
Out of Syllabus
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
4
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
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