1
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}
2
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)
3
JEE Main 2019 (Online) 12th January Evening Slot
+4
-1
The tangent to the curve y = x2 – 5x + 5, parallel to the line 2y = 4x + 1, also passes through the point :
A
$$\left\{ {{1 \over 4},{7 \over 2}} \right\}$$
B
$$\left( { - {1 \over 8},7} \right)$$
C
$$\left( {{7 \over 2},{1 \over 4}} \right)$$
D
$$\left( {{1 \over 8}, - 7} \right)$$
4
JEE Main 2019 (Online) 11th January Evening Slot
+4
-1
Let f(x) = $${x \over {\sqrt {{a^2} + {x^2}} }} - {{d - x} \over {\sqrt {{b^2} + {{\left( {d - x} \right)}^2}} }},\,\,$$ x $$\, \in$$ R, where a, b and d are non-zero real constants. Then :
A
f is an increasing function of x
B
f is neither increasing nor decreasing function of x
C
f ' is not a continuous function of x
D
f is a decreasing function of x
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