Define a relation R on A = {1, 2, 3, 4} as xRy if x divides y. R is
reflexive and transitive
reflexive and symmetric
symmetric and transitive
equivalence
If lines represented by x + 3y - 6 = 0, 2x + y - 4 = 0 and kx - 3y + 1 = 0 are concurrent, then the value of k is
If A and B are symmetric matrices of the same order, then which one of the following is not true ?
A + B is symmetric
A - B is symmetric
AB + BA is symmetric
AB - BA is symmetric
If w is an imaginary cube root of unity, then the value is
- 4
w2 - 4
w2
4
B.
w2 - 4
Given, w3 = 1 and 1 + w + w2 = 0
On the set of all non-zero reals, an operation * is defined as a * b = . In this group, a solution of (2 * x) * 3-1 = 4-1 is
6
1
1/6
3/2