If the line x/a + y/b =1 passes through the point of intersection of the line x=3 and 2x+3y=12 and is perpendicular to the line 2x+3y=8, Find the value of a and b.
Pankaj , 7 Years ago
Grade 10
1 Answers
Arun
Last Activity: 7 Years ago
when x/a + y/b =1
is written in simplified form
bx + ay = ab
hence slope = –b/ a
now line passes through (3, 2) (intersection of two lines)
3 b + 2a = ab
now if two lines are perpendicular then product of slope will be – 1
hence
(– 2/ 3)* ( –b/ a) = – 1
2b = – 3a
now use the above equation in the another relation of a & b
you will get the answer.
Hope it helps
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