ax+by=c, bx-ay=c.
Sol is
a. perpendicular line.
b. parallel lines
c. intersect with an acute angle
d. interact more than one point
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Let ax + by = c is line 1
and bx - ay = c is line 2
Slope of line 1 = -b/a
Slope of line 2 = a/b
Product of slope of both lines = (-b/a)(a/b)
= (-1)
And according to theorem,
If product of slope of two lines is (-1) then both lines are perpendicular.
Answer -> Option (a) "Perpendicular lines"
and bx - ay = c is line 2
Slope of line 1 = -b/a
Slope of line 2 = a/b
Product of slope of both lines = (-b/a)(a/b)
= (-1)
And according to theorem,
If product of slope of two lines is (-1) then both lines are perpendicular.
Answer -> Option (a) "Perpendicular lines"
sanjay270899:
I assume that you must know that how to find slope of a line.
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