Equation of three lines a,b and c in the following graph are
x y=0,x-y=0 and y=2( may not be written in an order).
match the given equation with lines a,b and c. also, find the area enclosed between these lines.
is the first straightline : x * y = 0 ? x * y = 0 is same as , x = 0 and y = 0. So it is the x axis and the y axis. x - y = 0 is same as x = y. the bisector of x and y axes in the 1st quadrant. y =2 is the horizontal line.
The area enclosed is a right angle triangle : the colored area = 1/2 * 2 * 2 = 2. =========================== see diagram 2:
Is the first line : x + y = 0 ? then it is the bisector of - x and +y axes in the 2nd quadrant. x - y = 0 and y = 2 are same like in the above. The area enclosed by the three lines is colored. It is an isosceles triangle. The area enclosed in the 1st quadrant is = 1/2 * 2 * 2 = 2. Area enclosed in 2nd quadrant = same as in 1st quadrant = 2.
