Home
Class 11
MATHS
Three non-zero real numbers from an A.P....

Three non-zero real numbers from an A.P. and the squares of these numbers taken in same order from a G.P. Then, the number of all possible value of common ratio of the G.P. is

A

1

B

2

C

3

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|59 Videos

  • SEQUENCES AND SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos

  • QUADRATIC EXPRESSIONS AND EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|50 Videos

  • SETS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

Three distinct non-zero real numbers form an A.P. and the squares of these numbers taken in same order form a G.P.If possible common ratio of G.P. are 3 pm sqrtn, n in N then n = ____________.

Three non-zero real numbers form a AP and the squares of these numbers taken in same order form a GP. If the possible common ratios are (3pm sqrt(k)) where k in N , then the value of [(k)/(8)-(8)/(k)] is (where [] denotes the greatest integer function).

If three non-zero distinct real numbers form an arithmatic progression and the squares of these numbers taken in the same order constitute a geometric progression. Find the sum of all possible common ratios of the geometric progression.

Let 3 non-zero distinct real numbers be in A.P. and their squares in G.P. Then number of possible values of common ratios of G.P. is (1) 2 (2) 3 (3) 5 (4) 6

If a,b,c are 3 distinct terms in G.P. and are also the lengths of sides of a triangle, then number of integral values of the common ratio of that G.P. is:

Sum of an infinite G.P. is 5/4 times the sum of all the odd terms. The common ratio of the G.P. is

The sum of three numbers in G.P. is 56. If we subtact 1,7,21 from these numbers in that order, we obtai an A.P. Find the numbers.

Three numbers are in G.P. If we double the middle term, we get an A.P. Then find the common ratio of the G.P.

The product of three consecutive numbers in G.P. is 27 and the sum of the products of numbers taken in pair is 39. Find the numbers.

Three numbers are in A.P. and their sum is 15. If 1,3,9 be added to them respectively they form a G.P. Find the numbers.

OBJECTIVE RD SHARMA ENGLISH-SEQUENCES AND SERIES-Exercise
  1. If (x+y)/(1-xy),y,(y+z)/(1-yz) be in A.P., " then " x,(1)/(y),z will b...

    Text Solution

    |

  2. If a , b, c, be in A.P. , b, c,d in G.P. and c.d.e.in H.P., then prov...

    Text Solution

    |

  3. Three non-zero real numbers from an A.P. and the squares of these numb...

    Text Solution

    |

  4. If p^(t h),\ q^(t h),\ r^(t h)a n d\ s^(t h) terms of an A.P. are in G...

    Text Solution

    |

  5. The n^(th) term of the sequence 4,14,30,52,80,114, . . . ., is

    Text Solution

    |

  6. If |x|<1a n d|y|<1, find the sum of infinity of the following series: ...

    Text Solution

    |

  7. If S(1),S(2)andS(3) denote the sum of first n(1)n(2)andn(3) terms resp...

    Text Solution

    |

  8. If |a| < 1 and |b| < 1, then the sum of the series a(a+b)+a^2(a^2+b^2)...

    Text Solution

    |

  9. If log(x)a, a^(x//2), log(b)X are in G.P. then x is equal to

    Text Solution

    |

  10. If a ,b ,c ,d are in G.P., then prove that (a^3+b^3)^(-1),(b^3+c^3)^(-...

    Text Solution

    |

  11. If 0ltxlt(pi)/(2) exp [(sin^(2)x+sin^(4)x+sin^(6)x+'.....+oo)log(e)2] ...

    Text Solution

    |

  12. The value of 0.2

    Text Solution

    |

  13. If the sum of an infinitely decreasing G.P. is 3, and the sum of the s...

    Text Solution

    |

  14. If 1/(1^2)+1/(2^2)+1/(3^2)+..." to "oo = pi^2/6, " then " 1/1^2+1/3^2+...

    Text Solution

    |

  15. The value of [(0.16)^(log(2.5)(1/3+1/3^2+1/3^3+….+oo))]^(1/2) is a) 1 ...

    Text Solution

    |

  16. If the sum of the first n terms of series be 5n^(2)+2n, then its secon...

    Text Solution

    |

  17. If x,|x+1|,|x-1| are first three terms of an A.P., then the sum of its...

    Text Solution

    |

  18. If a1,a2,a3,... are in A.P. and ai>0 for each i, then sum(i=1)^n n/(a(...

    Text Solution

    |

  19. If 1/(b-a)+1/(b-c)=1/a+1/c , then (A). a ,b ,a n dc are in H.P. (B). a...

    Text Solution

    |

  20. If,a,b and c are in H.P then the value of (ac+ab-bc)(ab+bc-ac)/(abc...

    Text Solution

    |