1
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
If the eccentricity of the standard hyperbola passing through the point (4,6) is 2, then the equation of the tangent to the hyperbola at (4,6) is
A
2x – y – 2 = 0
B
3x – 2y = 0
C
2x – 3y + 10 = 0
D
x – 2y + 8 = 0
2
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
The tangent to the parabola y2 = 4x at the point where it intersects the circle x2 + y2 = 5 in the first quadrant, passes through the point :
A
$$\left( { - {1 \over 4},{1 \over 2}} \right)$$
B
$$\left( { - {1 \over 3},{4 \over 3}} \right)$$
C
$$\left( { {3 \over 4},{7 \over 4}} \right)$$
D
$$\left( { {1 \over 4},{3 \over 4}} \right)$$
3
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
In an ellipse, with centre at the origin, if the difference of the lengths of major axis and minor axis is 10 and one of the foci is at (0,5$$\sqrt 3$$), then the length of its latus rectum is:
A
5
B
8
C
10
D
6
4
JEE Main 2019 (Online) 8th April Morning Slot
+4
-1
The shortest distance between the line y = x and the curve y2 = x – 2 is :
A
$$7\over 4 \sqrt2$$
B
$$7\over8$$
C
$$11\over 4 \sqrt2$$
D
2
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