Guest

If the lines y=-3x+4,ay=x+10 and 2y+bx+9=0 represents three consecutive sides of a rectangle then ab=

If the lines y=-3x+4,ay=x+10 and 2y+bx+9=0 represents three consecutive sides of a rectangle then ab=

Grade:12

1 Answers

Arun
25757 Points
5 years ago
ay=x+10
→y=x+10/a
→y=1ax+10a
i.e. slope=1/a
now, the first line and the second line are perpendicular to each other. therefore product of their slopes is -1
i.e. -3 x 1a=-1
→a=3
hence the value of ab is = 3*6=18

Think You Can Provide A Better Answer ?