JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Application +4 | -1

The sum of the intercepts cut off by the axes on the lines

x+y=a, x+y=a r, x+y=a r^2, \ldots

where

a \neq 0

and

r=1 / 2

View answer and explanation

Correct option: C

2 \sqrt{2} a

The correct answer is

2 \sqrt{{2}} a

because the sum of intercepts forms a geometric series with a common ratio of 1/2, and the sum to infinity is calculated.

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