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The line x = c cuts the triangle with co...

The line x = c cuts the triangle with corners (0,0) , (1,1) and (9,1) into two regions .For the area of the two regions to the same , then c must be equal to

A

`5//2`

B

3 only

C

`7//2`

D

3 or 15

Text Solution

Verified by Experts

The correct Answer is:
B
Area of `Delta=(1)/(2)xx8xx1=4`
Area of small `Delta^("le")=(1)/(2)(9-c)xx(1-( c )/(9))=2`
`(a-c)^(2)=36implies9-c=6` or `-6`
c = 3
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