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Question

The area of triangle formed by the lines x = 0, y = 0 and xa+yb=1, a and b are positive , is

A
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B
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C
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D
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Solution

The correct option is B
The intersection of these lines are A(0,0), B(a,0), C(0,b). Hence we get a right angled triangle which is right angled at origin.
Length of perpendicular is b and length of base is a.
Area of the right angled triangle is
=12(Perpendicular)×(base)=12ab.

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