Q. 73.6( 8 Votes )
Find the area of the triangle formed by the lines x = 0, y = 1 and 2x + y = 2.
Answer :
The given equations are
x = 0 …(i)
y = 1 …(ii)
and 2x + y = 2 …(iii)
Let eq. (i), (ii) and (iii) represents the sides AB, BC and AC respectively of ΔABC
From eq. (i) and (ii), we get x = 0 and y = 1
Thus, AB and BC intersect at (0, 1)
Solving eq. (ii) and (iii), we get
y = 1 …(ii)
and 2x + y = 2 …(iii)
Putting the value of y = 1 in eq. (iii), we get
2x + 1 = 2
⇒ 2x = 1
Now, Solving eq. (iii) and (i), we get
2x + y = 2 …(iii)
and x = 0 …(i)
Putting the value of x = 0 in eq. (iii), we get
y = 2
Thus, AC and AB intersect at (0, 2)
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