Home
Class 12
MATHS
If p, q and r are in A.P. then which of ...

If p, q and r are in A.P. then which of the following are true?-

A

x, y, z are in H.P

B

`(1)/(x), (1)/(y), (1)/(z)` are in A.P.

C

x, y, z are in G.P.

D

`(1)/(x), (1)/(y), (1)/(z)` are in G.P.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Integer Answer Type)|5 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Comprehension Type)|1 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 E (Very Short Answer Type Questions)|28 Videos

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos

  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

If q is false and (p^^q) harr r is also true then which of the following are tautology

If p is true and q is false, then which of the following statements is NOT true ?

Knowledge Check

  • The pth term of an A.P. is 2p-7, which of the following will be its 4th term ?

    A
    1
    B
    `-1`
    C
    3
    D
    `-3`

    • Similar Questions

    Explore conceptually related problems

    Given three statements P: 5 is a prime number, Q:7 is a factor of 192, R:The LCM of 5 & 7 is 35 Then which of the following statements are true (a) P v (~Q^^R) (b) ~P^^(~Q^^R) (c) (PvQ)^^~R (d) ~P^^(~Q^^R)

    "If " a_(1) ,a_(2), a_(3)….." are in A.P, then find the value of the following determinant:" |{:(a_(p)+a_(p+m) +a_(p+2m),,2a_(p)+3a_(p+m)+4a_(p+2m),,4a_(p)+9a_(p+m)+16a_(p+2m)),(a_(p)+a_(q+m)+a_(q+2m),,2a_(q)+3a_(q+m) +4a_(q+2m),,4a_(q)+9a_(q+m)+16a_(q+2m)),(a_(r)+a_(r+m)+a_(r+2m),,2a_(r)+3a_(r+m)+4a_(r+2m),,4a_(r) +9a_(r+m)+16a_(r+2m)):}|

    If (a-x)/(p x)=(a-y)/(q y)=(a-z)/(rz) and p ,q ,and r are in A.P., then prove that x ,y ,z are in H.P.

    Let t_(r) be the rth term of an A.P. If t_(2), t_(8) and t_(32) are in G.P., then find the common ratio of the G.P.

    If the (m + 1)th, (n + 1)th and (r + 1)th terms of an A.P. are in G.P. and (1)/(m), (1)/(n), (1)/(r ) are in A.P., then find the ratio of the first term of the A.P. to its common difference in terms of n.

    If p, q, r are in A.P., q, r, s are in G.P. and r, s, t are in H.P., prove that p, r, t are in G.P.

    If a ,b ,a n dc are in A.P. p ,q ,a n dr are in H.P., and a p ,b q ,a n dc r are in G.P., then p/r+r/p is equal to a. a/c+c/a b. a/c-c/a c. b/q + q/b d. b/q - q/b

    Home
    Profile