Home
Class 12
MATHS
Suppose a,b, c are in A.P. and a^(2) , b...

Suppose a,b, c are in A.P. and `a^(2) , b^(2),c^(2)` are in G.P. if `a lt b lt c and a+b+c =3/2,` then the value of a is-

A

`1/sqrt2`

B

`1/sqrt3`

C

`1/2+1/sqrt3`

D

`1/2+1/sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    VMC MODULES ENGLISH|Exercise LEVEL-2|34 Videos

  • SEQUENCE AND SERIES

    VMC MODULES ENGLISH|Exercise JEE MAIN & Advance ( ARCHIVE)|46 Videos

  • SEQUENCE AND SERIES

    VMC MODULES ENGLISH|Exercise JEE MAIN & Advance ( ARCHIVE)|46 Videos

  • REVISION TEST-2 JEE

    VMC MODULES ENGLISH|Exercise MATHEMATICS|25 Videos

  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Advanced Archive (State true or false: Q. 42)|1 Videos

Similar Questions

Explore conceptually related problems

Suppose a,b,c are in AP and a^(2),b^(2),c^(2) are in GP, If agtbgtc and a+b+c=(3)/(2) , than find the values of a and c.

Suppose a ,b, and c are in A.P. and a^2, b^2 and c^2 are in G.P. If a

Let a, b, c be in an AP and a^2, b^2, c^2 be in GP. If a < b < c and a + b+ c=3/2 then the value of a is

If a, b, c are in A.P. and b-a, c-b, a are in G.P. then a:b:c=?

If a, b, c are in G.P. and also a, b, c are in A.P. Prove that: 1/a+1/c=2/b

If a, b, c are in A.P and a, b, d are in G.P, prove that a, a -b, d -c are in G.P.

If a, b, c are in A.P and a, b, d are in G.P, prove that a, a -b, d -c are in G.P.

If a, b, c are in A.P and a, b, d are in G.P, prove that a, a -b, d -c are in G.P.

If a,b, and c are in A.P and b-a,c-b and a are in G.P then a:b:c is

If a,b, and c are in A.P and b-a,c-b and a are in G.P then a:b:c is

VMC MODULES ENGLISH-SEQUENCE AND SERIES -LEVEL-1
  1. If a ,b ,c are in G.P. and x ,y are the arithmetic means of a ,ba n db...

    Text Solution

    |

  2. If ai > 0 for i=1,2,…., n and a1 a2 … a(n=1) , then minimum value o...

    Text Solution

    |

  3. Suppose a,b, c are in A.P. and a^(2) , b^(2),c^(2) are in G.P. if a lt...

    Text Solution

    |

  4. One side of a equilateral triangle is 24 cm. The mid-points of its sid...

    Text Solution

    |

  5. The sum to infinity of the series 1+2(1-(1)/(n))+3(1-(1)/(n))^(2)+ ....

    Text Solution

    |

  6. Let an be the nth term of a G.P. of positive numbers. Let sum(n=1)^(10...

    Text Solution

    |

  7. The sum of the series (1 2/3)^(2) + (2 1/3)^(2) + 3^2 + (3 2/3)^(2) ...

    Text Solution

    |

  8. The roots of equation x^2+2(a-3)x+9=0 lie between -6 and 1 and 2, h1, ...

    Text Solution

    |

  9. If a,b,c are real numbers such that 3(a^(2)+b^(2)+c^(2)+1)=2(a+b+c+ab...

    Text Solution

    |

  10. The number a, b and c are between 2 and 18, such that (i) their su...

    Text Solution

    |

  11. three number a,b,c are in GP such that : (i) a+b+c=70 (ii) 4a,5b,4c a...

    Text Solution

    |

  12. If tr denotes the r^(th) term of an G.P. and t1 t5 t10 t16 t21 t25 ...

    Text Solution

    |

  13. The summation of series sum(r=1->99) 1/(sqrt(r+1)+sqrtr) is:

    Text Solution

    |

  14. If a,b,c are in A.P. then the roots of the equation (a+b-c)x^2 + (b-a...

    Text Solution

    |

  15. If sum of first n terms of a series is n/(n+1) find 1/(T8)where T8 is ...

    Text Solution

    |

  16. if (1+3+5+7+....(2p-1))+(1+3+5+...+(2q-1)) =1+3+5+...+(2r -1), then le...

    Text Solution

    |

  17. If S1 ,S2 and S3 denote the sum of first n1,n2 and n3 terms respec...

    Text Solution

    |

  18. If a, b, c and d are in G.P. show that (a^2+b^2+c^2)(b^2+c^2+d^2)=(a ...

    Text Solution

    |

  19. Let a1,a2 ,a3 …..be in A.P. and ap, aq , ar be in G.P. Then aq : ap ...

    Text Solution

    |

  20. If underset(r=1)overset(n)Sigma r(r+1)(2r +3)=an^4+bn^3+cn^2+dn +e th...

    Text Solution

    |