1
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
Given that the slope of the tangent to a curve y = y(x) at any point (x, y) is $$2y \over x^2$$. If the curve passes through the centre of the circle x2 + y2 – 2x – 2y = 0, then its equation is :
A
x loge|y| = 2(x – 1)
B
x2 loge|y| = –2(x – 1)
C
x loge|y| = x – 1
D
x loge|y| = –2(x – 1)
2
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
The height of a right circular cylinder of maximum volume inscribed in a sphere of radius 3 is
A
$$\sqrt 3$$
B
$$2\sqrt 3$$
C
$$\sqrt 6$$
D
$${2 \over 3} {\sqrt 3}$$
3
JEE Main 2019 (Online) 8th April Morning Slot
+4
-1
If S1 and S2 are respectively the sets of local minimum and local maximum points of the function,

ƒ(x) = 9x4 + 12x3 – 36x2 + 25, x $$\in$$ R, then :
A
S1 = {–1}; S2 = {0, 2}
B
S1 = {–2}; S2 = {0, 1}
C
S1 = {–2, 0}; S2 = {1}
D
S1 = {–2, 1}; S2 = {0}
4
JEE Main 2019 (Online) 8th April Morning Slot
+4
-1
Let ƒ : [0, 2] $$\to$$ R be a twice differentiable function such that ƒ''(x) > 0, for all x $$\in$$ (0, 2). If $$\phi$$(x) = ƒ(x) + ƒ(2 – x), then $$\phi$$ is :
A
decreasing on (0, 2)
B
decreasing on (0, 1) and increasing on (1, 2)
C
increasing on (0, 2)
D
increasing on (0, 1) and decreasing on (1, 2)
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