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Q)

The area of the triangle formed by the line x/y+y/b=1with co-ordinates aged

The area of the triangle formed by the line x/y+y/b=1with co-ordinates aged is

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A)
Line ; x/a + y/b = 1 
for forming triangle we have require three non - colinear vertices.
 
this line cut in X - axis , 
when, y = 0
x/a + 0/b = 1 
 
x = a hence, at X-axis it cuts (a , 0) 
 
similarly cuts in Y-axis 
when, x = 0
 
0/a + y/b = 1 
 
y = b hence, at (0, b) it cuts in Y-axis.
 
now, we have three points (0, 0), (a , 0) and ( 0, b) 
 
 
ar∆ = 1/2 { 0 + a( b - 0) + 0 }
= 1/2 ab 
 
hence, area of ∆ = (ab)/2
 
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