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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
25763 Points
3 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

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