If F is function such that F (0) = 2, F(1) = 3, F(x + 2)= 2F(x) - F(x + 1) for x > 0, then F(5) is equal to
- 7
- 3
17
13
Let S be a set containing n elements. Then, number of binary operations on S is
nn
2n2
nn2
n2
The numerically greatest term in the expansion of (3 - 5x)11 when x = 15, is
55 × 39
55 × 36
45 × 39
45 × 36
The number of solutions of the equation sin(ex) = 5x + 5-x, is
0
1
2
infinitely many
If ax = by = cz = du and a, b, c, d are in GP, then x, y, z, u are in
AP
GP
HP
None of these
If z satisfies the equation z - z = 1 + 2i, then z is equal to
32 + 2i
32 - 2i
2 - 32i
2 + 32i
If z = 1 - i31 + i3, then arg (z) is
60°
120°
240°
300°
If f (x) = log10x2. The set of all values of x for which f(x) is real, is
[- 1, 1]
[1, ∞)
(- ∞, - 1]
(- ∞, - 1] ∪ [1, ∞)
For what values of m can the expression 2x2 + mxy + 3y2 - 5y - 2 be expressed as the product of two linear factors?
± 1
± 7
49
If 3sinθ + 5cosθ, then the value of 5sinθ - 3cosθ is equal to
5
3
4