1
JEE Main 2019 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Let ƒ(x) = 15 – |x – 10|; x $$ \in $$ R. Then the set of all values of x, at which the function, g(x) = ƒ(ƒ(x)) is not differentiable, is :
A
{10,15}
B
{5,10,15,20}
C
{10}
D
{5,10,15}
2
JEE Main 2019 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Let p, q $$ \in $$ R. If 2 - $$\sqrt 3$$ is a root of the quadratic equation, x2 + px + q = 0, then :
A
p2 – 4q – 12 = 0
B
q2 – 4p – 16 = 0
C
q2 + 4p + 14 = 0
D
p2 – 4q + 12 = 0
3
JEE Main 2019 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Let S be the set of all values of x for which the tangent to the curve
y = ƒ(x) = x3 – x2 – 2x at (x, y) is parallel to the line segment joining the points (1, ƒ(1)) and (–1, ƒ(–1)), then S is equal to :
A
$$\left\{ { {1 \over 3}, - 1} \right\}$$
B
$$\left\{ { - {1 \over 3}, 1} \right\}$$
C
$$\left\{ { - {1 \over 3}, - 1} \right\}$$
D
$$\left\{ { {1 \over 3}, 1} \right\}$$
4
JEE Main 2019 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
If the standard deviation of the numbers –1, 0, 1, k is $$\sqrt 5$$ where k > 0, then k is equal to
A
2$$\sqrt 6 $$
B
$$\sqrt 6 $$
C
$$2\sqrt {{{5} \over 6}} $$
D
$$2\sqrt {{{10} \over 3}} $$
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