If a,b are intercepts of the line which is perpendicular to the line passing through the points 3,5,4,3 and passing through the point 5,6 then  ab=

The slope of the line joining the points 3,5,4,3 is  m=3−54−3=−2Equation of line passing through the point 5,6  and perpendicular to the line having slope -2 is  y−6=12x−52y−12=x−5x−2y+7=0Isolate the constant term and then divide with that constant on both sidesx−2y=−7x−7+y72=1Therefore, x− intercept  is a=−7  and the y−intercept is  b=72Hence, ab=−2