1
JEE Main 2019 (Online) 9th April Evening Slot
+4
-1
Out of Syllabus
The area (in sq. units) of the smaller of the two circles that touch the parabola, y2 = 4x at the point (1, 2) and the x-axis is :-
A
$$4\pi \left( {3 +\sqrt 2 } \right)$$
B
$$8\pi \left( {2 - \sqrt 2 } \right)$$
C
$$8\pi \left( {3 - 2\sqrt 2 } \right)$$
D
$$4\pi \left( {2 - \sqrt 2 } \right)$$
2
JEE Main 2019 (Online) 9th April Morning Slot
+4
-1
If one end of a focal chord of the parabola, y2 = 16x is at (1, 4), then the length of this focal chord is :
A
24
B
20
C
25
D
22
3
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
Out of Syllabus
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
$$\left( { {1 \over 4},{3 \over 4}} \right)$$
4
JEE Main 2019 (Online) 8th April Morning Slot
+4
-1
Out of Syllabus
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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