IIT-JEE
Exam
If the equations x^2 + 2x + 3 = 0 and ax^2 + bx + c = 0,
a, b, c ∈ R, have a common root, then a : b : c is -
(1) 1 : 3 : 2 (2) 3 : 1 : 2
(3) 1 : 2 : 3 (4) 3 : 2 : 1
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IIT-JEE Other Question
Statement-I : (p ∧ ~ q) ∧ (~ p ∧ q) is a fallacy.
Statement-II: (p → q) ↔ (~ q → ~ p) is a
tautology.
(1) Statement-I is true; Statement-II is false.
(2) Statement-I is false, Statement-II is true.
(3) Statement-I is true; Statement-II is true;
Statement-II is a correct explanation for
Statement-I.
(4) Statement-I is true; Statement-II is true;
Statement-II is not a correct explanation for
Statement-I.
The sum of first 20 terms of the sequence
0.7, 0.77, 0.777, ...., is -