1.

The area of the quadrilateral whose vertices are `(1,2)(6,2),(5,3) and (3,4)`, isA. `(3)/(2)` sq. unirtsB. `(11)/(2)` sq. unirtsC. `(1)/(2)` sq. unirtsD. none of these

Answer» Correct Answer - B
We have,
`Delta_(1)(1)/(2)|{:(1,6),(2,2):}|=-5,Delta_(2)=(1)/(2)|{:(6,5),(2,3):}|=4`
`Delta_(3)(1)/(2)|{:(5,3),(3,4):}|=(11)/(5)and Delta_(4)=(1)/(2)|{:(3,1),(4,2):}|=1`
`:.` Area of quadrilateral `=|-5+4+(11)/(4)+1|=(11)/(2)` sq. units


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