Home
Class 12
MATHS
Four different integers form an increasi...

Four different integers form an increasing A.P. One of these numbers is equal to the sum of the squares of the other three numbers. Then
The product of all numbers is -

A

3

B

0

C

4

D

2

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|5 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion-Reason Type)|2 Videos

  • SEQUENCE AND SERIES

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

The sum of three numbers in A.P. is 12 and the sum of their squares is 56, find the numbers.

The sum of three numbers in A.P is 12 and sum of their cubes is 288. Find the numbers.

Knowledge Check

  • Four different integers form an increasing A.P. One of these numbers is equal to the sum of the squares of the other three numbers. Then The sum of all the four numbers is -

    A
    1
    B
    3
    C
    2
    D
    `-2`

  • Four different integers form an increasing A.P. One of these numbers is equal to the sum of the squares of the other three numbers. Then The common difference of the four numbers is -

    A
    9
    B
    8
    C
    12
    D
    6

  • The sum of the squares of three consecutive natural numbers is 194. The numbers are :

    A
    5, 6, 7
    B
    7, 8, 9
    C
    4, 5, 6
    D
    6, 7, 8

    • Similar Questions

    Explore conceptually related problems

    The sum of two numbers is equal to 80. Three times of the difference of them is 20 more than the greatest number. Find the two numbers.

    The sum of three consecutive numbers in G.P. is 21 and the sum of their squares is 189. Find the numbers.

    The difference of two positive whole numbers in 3 and the sum of their squars is 117. Find the two numbers.

    If the sum of the two numbers is three times their difference then the ratio of the number is

    Of the three numbers if the square of the middle is equal to the product of the two extremes then the numbers will be

    Home
    Profile