Question

The number of possible straight lines, passing through and forming a triangle with coordinate axes whose area is sq. units, is

A

one

B

two

C

three

D

four

Medium

Solution

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Correct option is
D

four

Draw a line passing through
Let it cut at coordinate axis and
The area of triangle
So x' has two value
and
Now slope of and are equal 
putting both value of
and 
Hence both are quardratic eq SO possible solution is

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