NDA 2016 Maths · Mathematics · Straight Lines · easy

The equation of the line through (2,3) which makes equal non-zero intercepts on the coordinate axes is

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The equation of the line through

(2,3)

which makes equal non-zero intercepts on the coordinate axes is

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Answer: (D) $x+y=5$

Equal intercepts means the line is

x/a+y/a=1

, i.e.

x+y=a

. Passing through

(2,3)

gives

a=5

. The line

3x+2y=12

passes through

(2,3)

but its intercepts are

4

and

6

, which are unequal.

Original question written in the NDA 2016 Maths pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake