1
JEE Main 2018 (Offline)
+4
-1
Let S = { $$x$$ $$\in$$ R : $$x$$ $$\ge$$ 0 and

$$2\left| {\sqrt x - 3} \right| + \sqrt x \left( {\sqrt x - 6} \right) + 6 = 0$$}. Then S
A
contains exactly four elements
B
is an empty set
C
contains exactly one element
D
contains exactly two elements
2
JEE Main 2018 (Online) 15th April Evening Slot
+4
-1
If f(x) is a quadratic expression such that f (1) + f (2) = 0, and $$-$$ 1 is a root of f (x) = 0, then the other root of f(x) = 0 is :
A
$$-$$ $${5 \over 8}$$
B
$$-$$ $${8 \over 5}$$
C
$${5 \over 8}$$
D
$${8 \over 5}$$
3
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
If $$\lambda$$ $$\in$$ R is such that the sum of the cubes of the roots of the equation,
x2 + (2 $$-$$ $$\lambda$$) x + (10 $$-$$ $$\lambda$$) = 0 is minimum, then the magnitude of the difference of the roots of this equation is :
A
$$4\sqrt 2$$
B
$$2\sqrt 5$$
C
$$2\sqrt 7$$
D
20
4
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
If tanA and tanB are the roots of the quadratic equation, 3x2 $$-$$ 10x $$-$$ 25 = 0, then the value of 3 sin2(A + B) $$-$$ 10 sin(A + B).cos(A + B) $$-$$ 25 cos2(A + B) is :
A
$$-$$ 10
B
10
C
$$-$$ 25
D
25
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