Equation of a progressive wave is given by where t is in seconds and x is in meters. The distance through which the wave moves in
8 s is (in meter) ____.
8
16
2
4
The geometric mean of two numbers is 6 and their arithmetic mean is 6.5 . The numbers are ____.
(3, 12)
(4, 9)
(2, 18)
(7, 6)
If the A.M., G.M. and H.M. between two positive numbers and are equal, then ____.
Three non-zero real numbers form an A.P. and the squares of these numbers taken in the same order form a G.P. Then the number of all possible common ratios of the G.P. is ____.
1
2
3
None of the above
If then are in ____.
H.P.
G.P.
A.P.
None of the above
If a,b,c are in A.P., then are in ____.
A.P.
G.P.
H.P.
None of the above
The sum of three decreasing numbers in A.P. is 27. If are added to them respectively, the resulting series is in G.P. The numbers are ____.
5, 9, 13
15, 9, 3
13, 9, 5
17, 9, 1
Let the positive numbers a, b, c, d be in A.P., then abc, abd acd, bcd are ____.
Not in A.P./G.P./H.P.
In A.P.
In G.P.
In H.P.
If are in H.P., then are in ____.
A.P.
G.P.
H.P.
None of the above
If A is the A.M. of the roots of the equation and is the G.M. of the roots of the equation then ____.
None of the above