Question

)
Calculate the
area bounded by
the line x+y
=10 and both
tho
co-ordinate axes?​

Answer 1

Answer:

50 unit²

Step-by-step explanation:

Let PQ is the line

x+y=10--------------(1)

which intersect X and Y-axis at

A(a,0) and B(0,b)

( As any point on x-axis is (0,x) and on y-axis is (0,y) forms)

Now A(a,0) lies on (1)

so a+0=10, a=10

also B(0,b) lies on (1)

hence 0+b=10, b=10

Thus OA=10unit and OB=10 unit

Thus ar( Δ AOB)=1/2(OA)(OB)

=1/2(10)(10)

=100/2=50 unit²