Question

(viii) Mode =
Median -Mean.
(a) 2,-3 (b) 3,2 (c) -3,-2 (d) 2,3​

Answer 1

Answer:

3

Step-by-step explanation:

⇒

dx

dy

=

x−1

y

2

−2y

⇒

y

2

−2y

dy

=

(x−1)

dx

⇒∫

y(y−2)

dy

=

x−1

dx

⇒∫

y(y−2)

dy

=log(x−1)+c

Let

⇒

y(y−2)

1

=

y

A

+

(y−2)

B

⇒1=Ay−2A+By

⇒1+2A

⇒A=

2

−1

and(A+B)y=0,

A+B=0→(i)

PutA=

2

−1

inequation(i)

2

−1

+B=0,B=

2

1

⇒∫

y

A

dy+∫

(y−2)

B

dy=log(x−1)+c

⇒

2

−1

∫

y

dy

+

2

1

∫

(y−2)

1

=log(x−1+c

⇒

2

−1

logy+

2

1

log(y−2)=log(x−2)+logc

⇒

2

−1

[log(

y

y−2

)]=log(x−1)c

⇒log

y

y−2

=log(x−1)c

∴

y

(y−2)

=(x−1)c

⇒

y

y

y

−2

=(x−1)

2

c

2

⇒1−(x−1)

2

c

2

=

y

2

∴y=

−1(x−1)

2

c

2

2

Ans.