1
JEE Main 2019 (Online) 11th January Morning Slot
+4
-1
If one real root of the quadratic equation 81x2 + kx + 256 = 0 is cube of the other root, then a value of k is
A
$$-$$ 81
B
$$-$$ 300
C
100
D
144
2
JEE Main 2019 (Online) 10th January Evening Slot
+4
-1
The value of $$\lambda$$ such that sum of the squares of the roots of the quadratic equation, x2 + (3 – $$\lambda$$)x + 2 = $$\lambda$$ has the least value is -
A
1
B
2
C
$${{15} \over 8}$$
D
$${4 \over 9}$$
3
JEE Main 2019 (Online) 10th January Morning Slot
+4
-1
Consider the quadratic equation (c – 5)x2 – 2cx + (c – 4) = 0, c $$\ne$$ 5. Let S be the set of all integral values of c for which one root of the equation lies in the interval (0, 2) and its other root lies in the interval (2, 3). Then the number of elements in S is -
A
12
B
18
C
10
D
11
4
JEE Main 2019 (Online) 9th January Evening Slot
+4
-1
If both the roots of the quadratic equation x2 $$-$$ mx + 4 = 0 are real and distinct and they lie in the interval [1, 5], then m lies in the interval :
A
($$-$$5, $$-$$4)
B
(4, 5)
C
(5, 6)
D
(3, 4)
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