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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)

b)

1

c)

0

d)

2



Question ID - 51126 | SaraNextGen Top Answer

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)

b)

1

c)

0

d)

2

1 Answer
127 votes
Answer Key / Explanation : (c) -

(c)

Let the four integers be  and , where  and  are integers and . Now,

    (1)

    (2)

Since  is a positive integer, so

 

Hence from (2),

  or

But since

Hence, the four numbers are  

127 votes


127