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The number of possible straight lines, passing through(2,3) and forming a triangle with coordinate axes, whose area is 12sq.units is

  1. The number of possible straight lines, passing through(2,3) and forming a triangle with coordinate axes, whose area is 12sq.units is

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3 Answers

Arun
25750 Points
4 years ago
Dear Varun
ย 
I am getting my answer as 3.
Please let me know if this is correct then I will share my solution.
ย 
Varun L
11 Points
4 years ago
  1. The number of possible straight lines, passing through(2,3) and forming a triangle with coordinate axes, whose area is 12sq.units is 3. It is correct. How?
Mayank
368 Points
4 years ago
let their be a line passing through (2,3) now let that line pass through (a,0) and point (0,b) now it forms a triangle with coordinate axis so 1/2*a*b=12 that implies that ab=24 now the equation of the line in intercept form is x/a+y/b=1 and now the equation passes through the point (2,3) and satisfies it so we get 3a+2b=24 (after putting ab=24 ) now the solution of this equation or the no. of values of a,b is the ansย 
solutions:--------->
first ---->ย  a=6,b=3
second-----> a=4,b=6
third --------> a=2 ,b=9
so we have three lines obeying the conditions given in the questionย 
ย 

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