Home
Class 12
MATHS
Statement I For the function f(x)={:{...

Statement I For the function
`f(x)={:{(15-x,xlt2),(2x-3,xge2):}x=2` has neither a maximum nor a minimum point.
Statament II ff'(x) does not exist at x=2.

A

Statement I is true, Statement II is also true, Statement II is the correct explanation of statement I.

B

Statement I is true, Statement II is also true, Statement II is not the correct explanation of Statement I.

C

Statement I is true, Statement II is false

D

Statement I is false, Statement II is true

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|35 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|11 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|19 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Function f(x) {{:(x+1,xlt2),(2x-2,xgt=2):} is a continuous function

Consider the function f(x)={2x+3,xlt=1-x^2+6,x >1

Show that the function f(x)=4x^(3)-18x^(2)+27x-7 has neither maxima nor minima.

Show that the function f(x)=4x^(3)-18x^(2)+27x-7 has neither maxima nor minima.

Show that the function x^(3)- 3x^(2)+3x+1 has neither a maxima nor a minima.

At x=-1 ,the function f(x)=2x^(3)-3x^(2)-12x+12 is O maximum O minimum O neither maximum nor minimum O increasing