1
JEE Main 2019 (Online) 10th April Evening Slot
MCQ (Single Correct Answer)
+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
$$\left( { - {5 \over 3},0} \right)$$
2
JEE Main 2019 (Online) 10th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
If the line ax + y = c, touches both the curves x2 + y2 = 1 and y2 = 4$$\sqrt 2$$x , then |c| is equal to :
A
2
B
$$\sqrt 2$$
C
$${1 \over {\sqrt 2 }}$$
D
$${1 \over 2}$$
3
JEE Main 2019 (Online) 10th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
The tangent and normal to the ellipse 3x2 + 5y2 = 32 at the point P(2, 2) meet the x-axis at Q and R, respectively. Then the area (in sq. units) of the triangle PQR is :
A
$${{14} \over 3}$$
B
$${{16} \over 3}$$
C
$${{68} \over {15}}$$
D
$${{34} \over {15}}$$
4
JEE Main 2019 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+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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