IIT-JEE Exam

The x-coordinate of the incentre of the triangle that
has the coordinates of mid points of its sides as
(0,1) (1, 1) and (1, 0) is -

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IIT-JEE Other Question

Let A and B be two sets containing 2 elements and
4 elements respectively. The number of subsets of
A × B having 3 or more elements is -
(1) 219 (2) 211 (3) 256 (4) 220 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.