Geometric Mean
Trending Questions
Q. The geometric mean of 6 and 24 is
- 10
- 12
- 14
- 16
Q. The sum of two geometric mean's inserted between 3 and 81 is
- 24
- 18
- 36
- 30
Q. Let, f(x)=x2+6x+c, c∈R. If f(f(x))=0 has exactly three distinct real roots, then the value of c can be
- 9
- −3
- 11−√132
- 11+√132
Q. If sum of two positive numbers a and b, where a>b is thrice their G.M. and ab=7+√p2, then the value of p is
Q. If cosB is the geometric mean of sinA and cosA, where 0<A, B<π2, then the value(s) of cos2B is/are
- 1−sin2A
- 2sin2(π4−A)
- sin2A−1
- −2sin2(π4−A)
Q. If cosB is the geometric mean of sinA and cosA, where 0<A, B<π2, then the value(s) of cos2B is/are
- 1−sin2A
- 2sin2(π4−A)
- sin2A−1
- −2sin2(π4−A)
Q. The product of three geometric mean between 14 and 4 is
- 1
- 14
- 28
- 32
Q. Let a, b, c be in G.P. If x, y are arithmetic means between a, b and b, c respectively, then which of the following is/are correct?
- 1x+1y=1b
- 1x+1y=2b
- ax+cy=1
- ax+cy=2
Q. If α, β∈C are the distinct roots, of the equation x2−x+1=0, then α101+β107 is equal to :
- 1
- 2
- 0
- −1
Q. If A.M. and H.M. of the roots of a quadratic equation are 8 and 5 respectively, then the equation is
- x2+16x−40=0
- x2−16x−40=0
- x2+16x+40=0
- x2−16x+40=0
Q. If the geometric mean between a and b is an+1+bn+1an+bn, then the value of n is
1
–1/2
- 1/2
- 2
Q. If n geometric means be inserted between a and b then the nth geometric mean will be
- a(ba)n(n−1)
- a(ba)n−1(n)
- a(ba)n(n+1)
- a(ba)1(n)
Q. The product of three geometric mean between 14 and 4 is
- 1
- 14
- 28
- 32
Q. If 2x3+ax2+bx+4=0, a, b>0 has 3 real roots and the minimum value of a+b is m(x1/3+41/3), then the value of m+x is
Q. Which of the following number(s) represents one of the 4 geometric means inserted between 2 and 486.
- 6
- 18
- 54
- 172