Question

FInd the area enclosed by the curve y=x with x axis and x=1 using determinants

Answer 1

Answer:

area enclosed by the curve y=x with x-axis and x=1

To Find : Area

Solution:

y = x

x -axis => y = 0

x = 1

y = x & y = 0

=> (0 ,0) is the point

y = x and x = 1

=> ( 1 , 1) is the point

y = 0 , x = 1

=> (1 , 0) is the point

(0 , 0) , (0 , 1) , ( 1, 1)

=> A = (1/2) | 0 ( 1 - 1) - 0(0 - 1) + 1 (0 - 1) |

=> A = (1/2) | - 1|

=> A = 1/2

area enclosed by the curve y=x with x-axis and x=1 is 1/2 sq.