1
JEE Main 2020 (Online) 9th January Morning Slot
+4
-1
If e1 and e2 are the eccentricities of the ellipse, $${{{x^2}} \over {18}} + {{{y^2}} \over 4} = 1$$ and the hyperbola, $${{{x^2}} \over 9} - {{{y^2}} \over 4} = 1$$ respectively and (e1, e2) is a point on the ellipse, 15x2 + 3y2 = k, then k is equal to :
A
17
B
16
C
15
D
14
2
JEE Main 2020 (Online) 8th January Evening Slot
+4
-1
Out of Syllabus
If a hyperbola passes through the point P(10, 16) and it has vertices at (± 6, 0), then the equation of the normal to it at P is :
A
2x + 5y = 100
B
x + 3y = 58
C
x + 2y = 42
D
3x + 4y = 94
3
JEE Main 2019 (Online) 10th April Evening Slot
+4
-1
If 5x + 9 = 0 is the directrix of the hyperbola 16x2 – 9y2 = 144, then its corresponding focus is :
A
$$\left( {{5 \over 3},0} \right)$$
B
(5, 0)
C
(- 5, 0)
D
$$\left( { - {5 \over 3},0} \right)$$
4
JEE Main 2019 (Online) 10th April Morning Slot
+4
-1
If a directrix of a hyperbola centred at the origin and passing through the point (4, –2$$\sqrt 3$$ ) is 5x = 4$$\sqrt 5$$ and its eccentricity is e, then :
A
4e4 – 24e2 + 27 = 0
B
4e4 – 24e2 + 35 = 0
C
4e4 – 12e2 - 27 = 0
D
4e4 + 8e2 - 35 = 0
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