Question

if the lines 2x+3y-10=0 and 3x-ay-25=0 are perpendicular then the value of a is

Answer 1

Step-by-step explanation:

If lines are perpendicular then product of their slope is -1

slope of line 2x+3y-10=0 is -2/3

slope of line 3x-ay-25=0 is 3/a

Since ,

product of slope = -1

(-2/3) (3/a) = -1

(-6/3a) = -1

a =2