Let Xn = for all integers is
a singleton set
not a finite set
an empty set
a finite set with more than one element
The equation of hyperbola whose coordinates of the foci are (± 8, 0) and the length of latusrectum is 24 units, is
3x2 - y2 = 48
4x2 - y2 = 48
x2 - 3y2 = 48
x2 - 4y2 = 48
Let denote the cube roots of unity other than 1 and . Let S = . Then, the value of S is
either - 2w or - 2w2
either - 2w or 2w2
either 2w or - 2w2
either 2w or 2w2
A poker hand consists of 5 cards drawn at random from a well-shuffled pack of 52 cards. Then, the probability that a poker hand consists of a pair and a triple of equal face values (for example, 2 sevens and 3 kings or 2 aces and 3 queens, etc.) is
If the circle x2 + y2 + 2gx + 2fy + c = 0 cuts the three circles x2 + y2 - 5 = 0, x2 + y2 - 8x - 6y + 10 = 0 and x2 + y2 - 4x + 2y - 2 = 0 at the extremities of their diameters, then
c = - 5
fg = 147/25
g + 2f = c + 2
4f = 3g
Let f(x) be a differentiable function in [2, 7]. If f(2) = 3 and f'(x) 5 for all x in (2, 7), then the maximum possible value of f(x) at x = 7 is
7
15
28
14
C.
28
Given,
According to Lagrange mean value theorem,