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  • Answer please! - Limit , continuity and differentiability - JEE Main-11

If f(x) is continous in [a, b] differenciable in (a, b) and f(a) = f(b) then the number of tangents that can be drawn on f(x) which are parallel to x-axis is 

  • Option 1)

    1

  • Option 2)

    2

  • Option 3)

    3

  • Option 4)

    atleast 1

 

Answers (1)

best_answer

As we have learned

Geometrical interpretation of Rolle's theorem -

Let  f(x) be a function defined on [a, b] such that the curve  y = f(x) is continuous between points  {a, f(a)}  and  {b, f(b)}  at every points on the curve encept at the end point it is possible to draw a unique tangent and ordinates at  x = a  and  x = b are equal  f(a) = f(b).

- wherein

 

 \because all condition of rolle's are satisfied by f(x) so there will be at least one 'c'\epsilon (a,b)

such that f'(c)=0

 

 

 

 

 


Option 1)

1

Option 2)

2

Option 3)

3

Option 4)

atleast 1

Posted by

Himanshu

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