1
JEE Main 2019 (Online) 12th January Evening Slot
+4
-1
The equation of a tangent to the parabola, x2 = 8y, which makes an angle $$\theta$$ with the positive directions of x-axis, is :
A
x = y cot $$\theta$$ – 2 tan $$\theta$$
B
y = x tan $$\theta$$ + 2 cot $$\theta$$
C
x = y cot $$\theta$$ + 2 tan $$\theta$$
D
y = x tan $$\theta$$ – 2 cot $$\theta$$
2
JEE Main 2019 (Online) 12th January Evening Slot
+4
-1
Let S and S' be the foci of an ellipse and B be any one of the extremities of its minor axis. If $$\Delta$$S'BS is a right angled triangle with right angle at B and area ($$\Delta$$S'BS) = 8 sq. units, then the length of a latus rectum of the ellipse is :
A
2
B
4$$\sqrt 2$$
C
4
D
2$$\sqrt 2$$
3
JEE Main 2019 (Online) 12th January Morning Slot
+4
-1
The maximum area (in sq. units) of a rectangle having its base on the x-axis and its other two vertices on the parabola, y = 12 – x2 such that the rectangle lies inside the parabola, is :
A
36
B
20$$\sqrt 2$$
C
18$$\sqrt 3$$
D
32
4
JEE Main 2019 (Online) 12th January Morning Slot
+4
-1
If the vertices of a hyperbola be at (–2, 0) and (2, 0) and one of its foci be at (–3, 0), then which one of the following points does not lie on this hyperbola ?
A
$$\left( {6,5\sqrt 2 } \right)$$
B
$$\left( {2\sqrt 6 ,5} \right)$$
C
$$\left( { - 6,2\sqrt {10} } \right)$$
D
$$\left( {4,\sqrt {15} } \right)$$
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