JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

1 Easy

1 of 1

Application +4 | -1

If the line

\sqrt{5} x=y

meets the lines

x=1, x=2

\ldots x=n

at points

A_1, A_2, \ldots, A_n

respectively, then

\left(0 A_1\right)^2+\left(0 A_2\right)^2+\ldots+\left(0 A_n\right)^2

is equal to

View answer and explanation

Correct option: B

2 n^3+3 n^2+n

Option B (

2 n^3+3 n^2+n

) is correct because it is the sum of the squares of the distances from the origin to the points A1, A2, ..., An.

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