The relation R defined on the set of natural numbers as { (a, b) : a differs from b by 3} is given
{(1, 4), (2, 5), (3, 6), ... }
{(4, 1), (5, 2), (6, 3), ... }
{(1, 3), (2, 6), (3, 9), ... }
None of the above
Let A be any element in a Boolean algebra B, if a + x = 1 and ax = 0, then
x = 1
x = 0
x = a
x = a'
D.
x = a'
Given conditions are a + x = 1 and ax = 0.
These two conditions will be true if x = a'
Dual of (x + y) . (x + 1) = x + x . y + y is
(x . y) + (x . 0) = x . (x + y) . y
(x + y) + (x . 1) = x . (x + y) . y
(x . y) (x . 0) = x . (x + y) . y
None of these
If a = i + j + k, b = i + 3j + 5k and c = 7i + 9j + 11k, then the area of parallelogram having diagonals a + b and b + c is
4 sq units
sq units
sq units
sq units