Home
Class 12
MATHS
If a, b, c are in AP, then (a - c)^(2) e...

If a, b, c are in AP, then `(a - c)^(2)` equals

A

`4(b^(2) - ac)`

B

`4(b^(2) + ac)`

C

`4b^(2) - ac`

D

`b^(2) - 4ac`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND PROGRESSION

    ALLEN|Exercise Exercise O-3|1 Videos

  • SEQUENCE AND PROGRESSION

    ALLEN|Exercise Exercise O-4|1 Videos

  • SEQUENCE AND PROGRESSION

    ALLEN|Exercise Exercise O-1|1 Videos

  • RACE

    ALLEN|Exercise Race 21|10 Videos

  • TEST PAPER

    ALLEN|Exercise CHEMISTRY SECTION-II|8 Videos

Similar Questions

Explore conceptually related problems

If a,b,c are in AP.then (a-c)? equals:

If a,b,c are in AP,then prove that (a-c)^(2)=4(b^(2)-ac)

If angles A,B, and C are in A.P., then (a+c)/(b) is equal to

If a, b, c, d, e, f are in A.P., then e – c is equal to

If a, b, c are in A.P., then show that (i) b + c – a, c + a – b, a + b – c are in A.P.

if a,b,c are in AP, prove that (a-c)^(2) = 4( b^(2) -ac)

ALLEN-SEQUENCE AND PROGRESSION-Exercise O-2
  1. If a, b, c are in AP, then (a - c)^(2) equals

    Text Solution

    |

  2. If for an A.P. a1,a2,a3,........,an,........a1+a3+a5=-12 and a1a2a3=8,...

    Text Solution

    |

  3. If the sum of the first 11 terms of an arithmetical progression equals...

    Text Solution

    |

  4. Let s(1), s(2), s(3).... and t(1), t(2), t(3).... are two arithmetic s...

    Text Solution

    |

  5. If x in R , the numbers 5^(1+x) + 5^(1-x) , a/2 , 25^x + 25^(-x) form ...

    Text Solution

    |

  6. Along a road lies an odd number of stones placed at intervals of 10m. ...

    Text Solution

    |

  7. In an A.P. with first term 'a' and the common difference d(a, d!= 0), ...

    Text Solution

    |

  8. Let an, n in N is an A.P with common difference d and all whose terms ...

    Text Solution

    |

  9. Let a(1), a(2), a(3).... and b(1), b(2), b(3)... be arithmetic progres...

    Text Solution

    |

  10. The arithmetic mean of the nine number in the given set {9,99,999, ......

    Text Solution

    |

  11. If (1 + 3 + 5 + .... " upto n terms ")/(4 + 7 + 10 + ... " upto n term...

    Text Solution

    |

  12. If a != 1 and l n a^(2) + (l n a^(2))^(2) + (l n a^(2))^(3) + ... = 3 ...

    Text Solution

    |

  13. The sum of the first three terms of an increasing G.P. is 21 and the s...

    Text Solution

    |

  14. a, b, c are distinct positive real in HP, then the value of the expres...

    Text Solution

    |

  15. If sin(x-y),sinx,sin(x+y) are in H.P., then find the value of sinxsec(...

    Text Solution

    |

  16. An H.M. is inserted between the number 1/3 and an unknown number. If w...

    Text Solution

    |

  17. lf abcd=1 where a,b,c,d are positive reals then the minimum value of ...

    Text Solution

    |

  18. If 27 abc> (a+b+c)^3 and 3a +4b +5c=12 then 1/a^2+1/b^3+1/c^5=10, wh...

    Text Solution

    |

  19. If x = sum(n=0)^(oo) a^(n), y=sum(n=0)^(oo) b^(n), z = sum(n=0)^(oo) ...

    Text Solution

    |

  20. IF S=1^2+3^2+5^2....99^2 then the value of the sum 2^2+4^2+6^2...100^2

    Text Solution

    |