1
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
2
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
3
JEE Main 2017 (Online) 9th April Morning Slot
+4
-1
The sum of all the real values of x satisfying the equation
2(x$$-$$1)(x2 + 5x $$-$$ 50) = 1 is :
A
16
B
14
C
$$-$$4
D
$$-$$ 5
4
JEE Main 2017 (Online) 8th April Morning Slot
+4
-1
Let p(x) be a quadratic polynomial such that p(0)=1. If p(x) leaves remainder 4 when divided by x$$-$$ 1 and it leaves remainder 6 when divided by x + 1; then :
A
p(2) = 11
B
p(2) = 19
C
p($$-$$ 2) = 19
D
p($$-$$ 2) = 11
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