1
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
2
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
3
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
4
JEE Main 2017 (Offline)
+4
-1
If for a positive integer n, the quadratic equation

$$x\left( {x + 1} \right) + \left( {x + 1} \right)\left( {x + 2} \right)$$$$+ .... + \left( {x + \overline {n - 1} } \right)\left( {x + n} \right)$$$$= 10n$$

has two consecutive integral solutions, then n is equal to :
A
9
B
10
C
11
D
12
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