The values of p for which the difference between the roots of the equation x2 + px + 8 = 0 is 2, are
20 persons are invited for a party. In how many different ways can they and the host be seated at circular table, if the two particular persons are to be seated on either side of the host?
20!
2(18!)
18!
None of these
B.
2(18!)
There are total 20 + 1 = 21 persons. The two particular persons and the host he taken as one unit so that the remain 21 - 3 + 1 = 19 persons be arranged in round table in 18! ways. But the two persons on either side of the host can themselves be arranged in 2! ways.
Thus, required number of ways = 2!18!
The area of the smaller segment cut off from the circle x2 + y2 = 9 by x = 1 is
sq unit
None of the above
The distance travelled by a motor car in t seconds after the brakes are applied is s feet, wheres = 22t - 12t2. The distance travelled by the car before it stops, is
10.08 ft
10ft
11ft
11.5ft
If w ( )is a cube root of unity and (1 + w2)n = (1 + w4)n, then the least positive value of n is
2
3
5
6
If in the expansion of (1 + x)m (1 - x)n, the coefficient of x and x2 are 3 and - 6 respectively, then m is
6
9
12
24