Home
Class 11
MATHS
Let a,b,c are in A.P and k!=0 be a real ...

Let a,b,c are in A.P and `k!=0` be a real number which of the following is/ are correct?
(i) `ka,kb,kc` are in A.P
(ii) `k-a,k-b,k-c` are in A.P.
(iii) `a/k,b/k,c/k` are in A.P (a) i and ii only (b) ii and iii only (c) i and iii only (d) i, ii and iii

A

i and ii only

B

ii and iii only

C

I and iii only

D

I,ii and iii

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS|34 Videos

  • SEQUENCE AND SERIES

    ICSE|Exercise CHAPTER TEST |25 Videos

  • SETS

    ICSE|Exercise CHAPTER TEST|46 Videos

Similar Questions

Explore conceptually related problems

In which of the following equilibrium, (K_c = K_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, 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. prove that b+c,c+a,a+b are also in A.P.

In Figure, which of the following statements must be true? (i) a+b=d+c (ii) a+c+e=180^0 (iii) b+f=c+e (a) (i) only (b) (ii) only (c) (iii) only (d) (ii) and (iii) only

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

If a, b and c are in A.P. show that : (i) 4a, 4b and 4c are in A.P. (ii) a + 4, b + 4 and c + 4 are in A.P.

If a, b, c are in A.P, then show that: b+c-a ,\ c+a-b ,\ a+b-c are in A.P.

If l n(a+c),l n(a-c) and l n(a-2b+c) are in A.P., then (a) a ,b ,c are in A.P. (b) a^2,b^2, c^2, are in A.P. (c) a ,b ,c are in G.P. (d) a ,b ,c are in H.P.

ICSE-SEQUENCES AND SERIES-MULTIPLE CHOICE QUESTIONS
  1. If the first term of a G.P is 27 and 8th term is 1/81, then the sum of...

    Text Solution

    |

  2. The product of 5 terms of G.P. whose 3rd term is 2 is

    Text Solution

    |

  3. If 3rd, 8th and 13th terms of a G.P are p ,q and r respectively, then ...

    Text Solution

    |

  4. Let a,b,c are in A.P and k!=0 be a real number which of the following ...

    Text Solution

    |

  5. How many two digit numbers are divisible by 4?

    Text Solution

    |

  6. A G.P consists of 200 terms. If the sum of odd terms of G.P is m and s...

    Text Solution

    |

  7. If an infinite G.P. has the first term a and the sum 5, then which one...

    Text Solution

    |

  8. The value of 2xx2^(1//2)xx2^(1//4)xx2^(1//8)xx ….xx oo is (i) 4 (...

    Text Solution

    |

  9. If the second term of a G.P. is 2 and the sum of its infinite terms is...

    Text Solution

    |

  10. If x,y,z are positive integers, then the value of the expression (x+y)...

    Text Solution

    |

  11. In a G.P of positive terms if any term is equal to the sum of the next...

    Text Solution

    |

  12. If the sum of first two terms of an infinite G.P is 1 and every term i...

    Text Solution

    |

  13. If x,2y,3z are in A.P where the distinct numbers x,y,z are in G.P then...

    Text Solution

    |

  14. Let S(n) denote the sum of the cubes of the first n natural numbers an...

    Text Solution

    |

  15. If t(n) denotes the n th term of the series 2+3+6+1+18+…….then t(50) i...

    Text Solution

    |

  16. If every term of a G.P with positive terms is the sum of its two previ...

    Text Solution

    |

  17. The value of 9^(1//3)xx9^(1//9)xx9^(1//27)xx…… to oo is

    Text Solution

    |

  18. If the first second and the last terms of an A.P are a,band 2a , respe...

    Text Solution

    |

  19. If the sum of two extreme numbers of an A.P with four terms is 8 and t...

    Text Solution

    |

  20. If the first term of a G.P. a(1),a(2),a(3) is unity such that 4a(2)+5a...

    Text Solution

    |