A straight line passes through the point (2, 3) and forms a
triangle of area 12 square unit with the coordinate axes. Find
the equation of the straight line.
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Answer:
a=2,b=3 OR a=-2,b=-3
Step-by-step explanation:
let a and b be points where the line intersects the coordinate axes then;
(y-b)=b/a(x-a)
ay-ab= bx-ab
ay=bx
since the line passes through (2,3);
3a=2b-------(1)
area of triangle=1/2 x base x height = 12
=>ab=6-------(2)
from 1 and 2;
a=2,b=3 OR a=-2,b=-3
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