1
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
2
JEE Main 2019 (Online) 8th April Morning Slot
+4
-1
If the tangents on the ellipse 4x2 + y2 = 8 at the points (1, 2) and (a, b) are perpendicular to each other, then a2 is equal to :
A
$${{2} \over {17}}$$
B
$${{64} \over {17}}$$
C
$${{128} \over {17}}$$
D
$${{4} \over {17}}$$
3
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 $$\theta$$
4
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$$\sqrt 2$$
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