How many straight lines passing through (2,3) form a triangle with coordinate axes, whose area is 12 sq. units?
1 Answer
Aug 31, 2017
One
Explanation:
-
Let the equation of the straight line passing through
(2,3) bey−3=m(x−3) ,wherem represents the slope of the straight line. -
Transforming the above equation in intercept form we have
x2m−3m+y3−2m=1 -
So x-intercept
=2m−3m and y-intercept=(3−2m) -
Area of the triangle formed by the straight line and intercepts from axes is given by
12×2m−3m×(3−2m)=12
As m has got only one real value, we can say that only one straight line passing through