Question

The number of possible straight lines passing through (2,3) and forming a triangle with the co-ordinates axes,whose area is 12 Sq. units, is-

• A. one
• B. two
• C. three
• D. four

Answer 1

The correct option is D four

Since the coordinate axes form the two sides of the triangle required, the triangle is always a right angled triangle.

If a and b are the x-intercept and y-intercept reapectively,

then , $\frac{1}{2}$ab= plus or minus 12 units ,

Or ab =plus or minus 24\p4

Thus the answer to the question is four .

1. (+a,+b)
2. (+a,-b)
3. (-a, +b)
4. (-a,-b)