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The line x=c cuts the triangle with vertices(0,0),(1,1), (9,1) in two regions. For the area of the regions to be the same,c must be equal to?

The line x=c cuts the triangle with vertices(0,0),(1,1), (9,1) in two regions. For the area of the regions to be the same,c must be equal to? 

Grade:11

1 Answers

Arun
25763 Points
2 years ago
Dear student
 
Just use determinants formula to find out are and then if put x = c, 
Just equate area same.
Then you will find quadratic in C. 
Hence c will be 15 and 3
 
But as x = c = 15 will be outside of this triangle. Hence c= 15 will be eliminated.
 
Hence correct andwer should be c= 3

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