Math, asked by rounikkar, 10 months ago

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.​

Answers

Answered by arunsomu13
2

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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