Home
Class 12
MATHS
If a, b, c are in A . P, then (a-c)^(2)=...

If `a, b, c` are in `A . P`, then `(a-c)^(2)=`

A

`b^(2)-a c`

B

`2(b^(2)-a c)`

C

`3(b^(2)-a c)`

D

`4(b^(2)-a c)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|213 Videos

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos

Similar Questions

Explore conceptually related problems

If a,b,c,d are in H.P., then :

If a, b, c are in A.P and (b-c) x^(2)+(c-a) x+(a-b)=0 and 2(c+a) x^(2)+(b+c) x=0 have a common root then

If a,b,c are in A.P., then 7^(a) , 7^(b) and 7^(c ) are in :

If the angles A, B, C of a triangle are in A . P and sides a, b, c are in G.P, then a^(2), b^(2), c^(2) are in

In a triangle A B C , if a, b, c are in A.P then tan (A)/(2), tan (B)/(2), tan (C)/(2) are in

If a,b,c are in A.P., the 3^(a), 3^(b) , 3^(c ) are in :

In a triangle A B C, if cot A, cot B, cot C are in A.P, then a^(2), b^(2), c^(2) are in

If a, b, c be in A.P, then a x+b y+c=0 represents

If a,b,c are in AP, than show that a^(2)(b+c)+b^(2)(c+a)+c^(2)(a+b)=(2)/(9)(a+b+c)^(3) .

HIMALAYA PUBLICATION-PROGRESSIONS-QUESTION BANK
  1. 7th term of an A.P. is 40. then the sum of the first 13 terms is

    Text Solution

    |

  2. In an A.P, 7^(th) element is (1)/(21) and 21^(st ) element is (1)/(7) ...

    Text Solution

    |

  3. If a, b, c are in A . P, then (a-c)^(2)=

    Text Solution

    |

  4. Let a and d are respectively first and the common difference of an A.P...

    Text Solution

    |

  5. Let a and d are respectively first and the common difference of an A.P...

    Text Solution

    |

  6. In an A.P, 7^(th) element is (1)/(21) and 21^(st ) element is (1)/(7) ...

    Text Solution

    |

  7. The first and last element of an A.P are 7 and 55 respectively. The su...

    Text Solution

    |

  8. If 5 times of the 5^(th ) element of an A.P is equal to 9 times the 9^...

    Text Solution

    |

  9. Sum of 25^(th) and 5^(th) elements of an A.P is

    Text Solution

    |

  10. If the sum of 4^(th) and 8^(th) elements of A.P is 24 and the sum of 6...

    Text Solution

    |

  11. The 12^(th) element from the end of A.P,3,8,13, .., 253 is

    Text Solution

    |

  12. The 8^(th) element and 20^(th) element of an A.P are 22 and 46 respect...

    Text Solution

    |

  13. Which of the element of A.P 4, 5 (1)/(3), 6(2)/(3), .... is 104

    Text Solution

    |

  14. If the ratio of the sums of the n elements of two arithmetic progressi...

    Text Solution

    |

  15. a, b, c are in A . P, x is G . M between a and b, y is the G.M between...

    Text Solution

    |

  16. If (a-1) is the G.M between (a-2) and (a+1) then a=

    Text Solution

    |

  17. If a, b, c are in geometric progression then log a^(n), log b^(n), log...

    Text Solution

    |

  18. The first term of a G.P is 3 and 6^(th) element is (3)/(32), then if P...

    Text Solution

    |

  19. The first and the n^(th) elements of a G.P are respectively a and b an...

    Text Solution

    |

  20. a, b, c are in A.P, b, c, d are in G.P and c, d, e are in H.P, then a,...

    Text Solution

    |