JEE Mains Model Paper 4

We have , y = (x−3)2, which is polynomial function. So it is continuous and differentiable .Thus condition of mean value theorem are satisfied Hence . there exist at least one c ∊ (3,4) such that
f'(c) =

f(4)−f(3)

4−3

= 2 (c - 3) =

1−0

1

= c - 3 =

1

2

= c =

7

2

∊ (3, 4)
For x =

7

2

, y = (

7

2

−3)2 = (

1

2

)2 =

1

4

So, (

7

4

,

1

2

)