1
JEE Main 2019 (Online) 9th January Evening Slot
+4
-1
The number of all possible positive integral values of $$\alpha$$  for which the roots of the quadratic equation, 6x2 $$-$$ 11x + $$\alpha$$ = 0 are rational numbers is :
A
3
B
2
C
4
D
5
2
JEE Main 2018 (Online) 16th April Morning Slot
+4
-1
Let p, q and r be real numbers (p $$\ne$$ q, r $$\ne$$ 0), such that the roots of the equation $${1 \over {x + p}} + {1 \over {x + q}} = {1 \over r}$$ are equal in magnitude but opposite in sign, then the sum of squares of these roots is equal to :
A
$${{{p^2} + {q^2}} \over 2}$$
B
p2 + q2
C
2(p2 + q2)
D
p2 + q2 + r2
3
JEE Main 2018 (Online) 16th April Morning Slot
+4
-1
If an angle A of a $$\Delta$$ABC satiesfies 5 cosA + 3 = 0, then the roots of the quadratic equation, 9x2 + 27x + 20 = 0 are :
A
secA, cotA
B
sinA, secA
C
secA, tanA
D
tanA, cosA
4
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
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