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Question

The straight line whose sum of the intercepts on the axes is equal to half of the product of the intercepts passes through the point


A

1,1

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B

2,2

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C

3,3

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D

4,4

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Solution

The correct option is B

2,2


Explanation for the correct option:

Equation of a line in intercept form is

xa+yb=1bx+ay=ab...(1)

Where a is the x-intercept and b is the y-intercept.

Given, sum of the intercepts on the axes is equal to half of the product of the intercepts.

So,

a+b=ab2ab=2a+2b...(2)

Comparing (1) with (2)

bx+ya=2a+2b

Comparing both sides

y=2,x=2

Thus, the line passes through (2,2).

Hence, option B is correct.


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