Math, asked by Abhaykhator, 1 year ago

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 be the same c must be equal to
(A) 5/2
(B)3
(C) 7/2
(D) 3 or 15​

Answers

Answered by kavayasharma2000
3

Answer:

Correct answer is option 'B'.

Step-by-step explanation:

Answered by vijayamannem1234
1

Step-by-step explanation:

SlopeAC=

9

1

slope

y=

9

1

x

AB→y=x

A

1

=∫

0

1

(x−

9

x

)dx+∫

1

c

(1−

9

x

)dx

[

2

x

2

10

x

2

]

0

1

+[x−

18

x

2

]

1

c

=[

18

8x

2

]

0

1

+[x−

10

x

2

]

1

c

=[

9

4x

2

]

0

1

+[x−

10

x

2

]

1

c

=

9

4

+c−

10

c

2

−1+

18

1

=

16

8

+

18

1

−1+c−

18

c

2

=c−

18

c

2

2

1

A

2

=∫

c

9

(1−

9

x

)dx=[x−

10

x

2

]

c

9

=9−

18

81

−c+

18

c

2

=9−

2

9

+

18

c

2

−c

2x−

18

2c

2

=

2

9

+

2

1

=5

c

2

−18c+45=0

c

2

−15c−3c+45=0

c=3,15

Similar questions