Question

The area of triangle formed by the line x/a + y/b = 1 with the coordinate axes is-
1) ab
2)2ab
3)1/2ab
4)2/2ab

Answer 1

this is the intercept form of a line
x intercept is a
y intercept is b
after drawing this line on graph paper,we sees a right triangle
base of triangle is a
height of triangle is b
area of triangle =1/2 base*height
ab/2
option 3 is correct

Answer 2

Answer:

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

intercepts x and y axis at a and b

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

therefore,

area of triangle = ½ab