MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Sequences, Series and Progressions

9. Let a and ...

Question

9. Let a and b be natural numbers such that 2a - b, a - 2b, a + b are all distinct squares. What is the smallest possible value of b

Open in App

Solution

Suggest Corrections

thumbs-up

1

Similar questions

a

b

are numbers such that

(a - 4) (b + 6) = 0

, then what is the smallest possible value of

a^{2} + b^{2}

?

a, b

are natural numbers such that

2013 + a^{2} = b^{2}

, the minimum possible value of

a b

Q. Let a, b, c, d, e be consecutive positive integers such that

b + c + d

is a perfect square and

a + b + c + d + e

is a perfect cube. Find the smallest possible value of c.

Q. Let a, b, c, d, e be natural numbers in an arithmetic progression such that

a + b + c + d + e

is the cube of an integer and

b + c + d

is square of an integer. The least possible value of the number of digits of c is

?

\to a

\to b

be two vectors such that

| \to a | = 3

| \to b | = 6

| \to a + \to b | = 7

. Then the value of

(3 \to a - 2 \to b) . (2 \to a + 5 \to b - 4 \to a \times \to b)

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Sequences, Series and Progressions

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon