Home
Class 12
MATHS
The numbers a,b,c are in A.P. and a+b+c=...

The numbers `a,b,c` are in `A.P.` and `a+b+c=60`. The numbers `(a-2)`, `b`, `(c+3)` are in `G.P.` Then which of the following is not the possible value of `a^(2)+b^(2)+c^(2)` ?

A

1218

B

1208

C

1288

D

1298

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|16 Videos

  • SEQUENCE AND SERIES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|4 Videos

  • SEQUENCE AND SERIES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|21 Videos

  • QUADRATIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|45 Videos

  • SOLUTION OF TRIANGLES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|11 Videos

Similar Questions

Explore conceptually related problems

If a,b,c are in A.P and a^2,b^2,c^2 are in H.P then which is of the following is /are possible ?

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.

a,b,c are in G.P. and a+b+c=xb , x can not be (a) 2 (b) -2 (c) 3 (d) 4

If a, b, c are in G.P. and b-c, c-a, a-b are in H.P. then find the value of ((a+b+c)^(2))/(b^(2)) .

If a, b, c, d are in G. P., show that the following are also in G. P. b^(2)c^(2), c^(3)a^(2),a^(2)b^(2)

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 three distinct numbers in G.P., b,c,a are in A.P and a,bc, abc, in H.P then the possible value of b is

If a,b,c are in A.P. prove that the following are also in A.P. a^(2)(b+c) , b^(2) (c+a) , c^(2)(a+b)

VIKAS GUPTA (BLACK BOOK) ENGLISH-SEQUENCE AND SERIES -EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
  1. about to only mathematics

    Text Solution

    |

  2. If a, b, c are distinct positive real numbers such that the quadratic ...

    Text Solution

    |

  3. If a,b,c are in H.P, where a gt c gt 0, then :

    Text Solution

    |

  4. In an A.P. let T(r) denote r ^(th) term from beginning, T(p) = (1)/(q ...

    Text Solution

    |

  5. Which of the following statement (s) is (are) correct ?

    Text Solution

    |

  6. If a,b,c are in 3 distinct numbers in H.P. a,b,c gt 0, then :

    Text Solution

    |

  7. All roots of equation x ^(5) -40 x ^(4) + alphax ^(3) + beta x ^(2) + ...

    Text Solution

    |

  8. Let a (1), a(2), a(3)……. be a sequence of non-zero rela numbers with a...

    Text Solution

    |

  9. Given a,b,c are in A.P. b,c,d are in G.P. and c,d,e are in H.P. if a =...

    Text Solution

    |

  10. The numbers a,b,c are in A.P. and a+b+c=60. The numbers (a-2), b, (c+3...

    Text Solution

    |

  11. If (x ^(2) +x+1) + (x^(2) + 2x +3) + (x^(2) + 3x +5) + ….. + (x ^(2) +...

    Text Solution

    |

  12. For Delta ABC, if 81 + 144 a ^(4) + 16b ^(4) + 9c ^(4) =144 abc, (whe...

    Text Solution

    |

  13. Let x,y,z in (0, (pi)/(2)) are first three consecutive terms of an ari...

    Text Solution

    |

  14. If the number 16, 20, 16, d form a A.G.P. then d can be equal to :

    Text Solution

    |

  15. Given then which of the following true

    Text Solution

    |

  16. If S(r) = sqrt(r+ sqrt(r+sqrt(r+sqrt(......oo)))) , r gt 0 then which...

    Text Solution

    |

  17. Consider the A.P. 50,48,46,44 ……. If S (n) denotes the sum to n terms ...

    Text Solution

    |

  18. Sum of the n terms of the series (3)/(1^(2))+(5)/(1^(2)+2^(2))+(7)/(1^...

    Text Solution

    |

  19. For Delta ABC, if 81 + 144 a ^(4) + 16b ^(4) + 9c ^(4) =144 abc, (whe...

    Text Solution

    |