If the complex numbers z1, z2, z3 and z4 denote the vertices of a square taken in order. If z1 = 3 + 4i and z3 = 5 + 6i, then the other two vertices z2 and z4 are respectively
5 + 4i, 5 + 6i
5 + 4i, 3 + 6i
5 + 6i, 3 + 5i
3 + 6i, 5 + 3i
Let Sn denotes the sum of first n terms of an AP.If S4 = - 34, S5 = - 60 and S6 = - 93, then the common difference and the first term of the AP are respectively
- 7, 2
7, - 4
7, - 2
- 7, - 2
An AP has the property that the sum of first ten terms is half the sum of next ten terms. If the second term is 13, then the common difference is
3
2
5
4
B.
2
Let a and d be the first term and common difference, respectively.
Given, T2 = 13 a + d = 13 ...(i)
According to the question,
The domain of the function f(x) = is
R - {- 1, - 2}
R - {- 1, - 2, 0}
(- 3, - 1) ∪ (- 1, )
(- 3, ) - {- 1, - 2}
If * is defined by a * b = a - b2 and is defined by a b = a2 + b, where a and b are integers, then (3 4) * 5 is equal to
164
38
- 12
- 28