Question

the area of the triangle formed by the line x/a plus y/b =1 with the coordinate axis is options are ab, 2ab, 1/2ab, 1/4ab

Answer 1

$\frac{x}{a} + \frac{y}{b} = 0$


By taking L.C.M.

$bx + ay = ab$


Therefore, X intercept will be

$x = \frac{ab}{b} = a$


And, Y intercept will be

$y = \frac{ab}{a} = b$


Therefore, Line will cut X axis at "a" and Y axis at "b"

Therefore, Length of base of Triangle is "a" and Length of height of triangle is "b"

$area \: of \: triangle = \frac{1}{2} \times base \times height$

$area \: of \: triangle = \frac{1}{2} \times a \times b$

$area \: of \: triangle = \frac{1}{2}ab$


Answer:- area of triangle = 1/2ab

Answer 2

Answer:

(c) ½ab

Step-by-step explanation:

The line x/a + y/b = 1,

intercepts x and y axes at a and b

(0,0) ; (a, 0) ; (0,b) are the three vertices of triangle

therefore,

area of triangle = ½ab