JEE Exam  >  JEE Questions  >  Let f, g : R → R be two functions define... Start Learning for Free
Let f, g : R → R be two functions defined by 
Statement I : f is a continuous function at x = 0.
Statement II : g is a differentiable function at x = 0.
  • a)
    Both statements I and II are false
  • b)
    Both statement I and II are true
  • c)
    Statement I is true and statement II is false
  • d)
    Statement I is false and statement II is true
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Let f, g : R → R be two functions defined byStatement I : f is a ...
Write the given function.

The value of the function f (x) at x → 0.

= f (0)
So, the f (x) is continuous function at x = 0.
The value of the function g (x) at x → 0.
g(0) = 0

The expression for the left hand limit of the function g (x) is,


The expression for the right hand limit of the function g (x) is,


Since, the left hand limit is equal to the right hand limit. Thus, the function g(x) at x = 0 is differentiable.
View all questions of this test
Explore Courses for JEE exam
Let f, g : R → R be two functions defined byStatement I : f is a continuous function at x = 0.Statement II : g is a differentiable function at x = 0.a)Both statements I and II are falseb)Both statement I and II are truec)Statement I is true and statement II is falsed)Statement I is false and statement II is trueCorrect answer is option 'B'. Can you explain this answer?
Question Description
Let f, g : R → R be two functions defined byStatement I : f is a continuous function at x = 0.Statement II : g is a differentiable function at x = 0.a)Both statements I and II are falseb)Both statement I and II are truec)Statement I is true and statement II is falsed)Statement I is false and statement II is trueCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let f, g : R → R be two functions defined byStatement I : f is a continuous function at x = 0.Statement II : g is a differentiable function at x = 0.a)Both statements I and II are falseb)Both statement I and II are truec)Statement I is true and statement II is falsed)Statement I is false and statement II is trueCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let f, g : R → R be two functions defined byStatement I : f is a continuous function at x = 0.Statement II : g is a differentiable function at x = 0.a)Both statements I and II are falseb)Both statement I and II are truec)Statement I is true and statement II is falsed)Statement I is false and statement II is trueCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Let f, g : R → R be two functions defined byStatement I : f is a continuous function at x = 0.Statement II : g is a differentiable function at x = 0.a)Both statements I and II are falseb)Both statement I and II are truec)Statement I is true and statement II is falsed)Statement I is false and statement II is trueCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Let f, g : R → R be two functions defined byStatement I : f is a continuous function at x = 0.Statement II : g is a differentiable function at x = 0.a)Both statements I and II are falseb)Both statement I and II are truec)Statement I is true and statement II is falsed)Statement I is false and statement II is trueCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Let f, g : R → R be two functions defined byStatement I : f is a continuous function at x = 0.Statement II : g is a differentiable function at x = 0.a)Both statements I and II are falseb)Both statement I and II are truec)Statement I is true and statement II is falsed)Statement I is false and statement II is trueCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Let f, g : R → R be two functions defined byStatement I : f is a continuous function at x = 0.Statement II : g is a differentiable function at x = 0.a)Both statements I and II are falseb)Both statement I and II are truec)Statement I is true and statement II is falsed)Statement I is false and statement II is trueCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Let f, g : R → R be two functions defined byStatement I : f is a continuous function at x = 0.Statement II : g is a differentiable function at x = 0.a)Both statements I and II are falseb)Both statement I and II are truec)Statement I is true and statement II is falsed)Statement I is false and statement II is trueCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Let f, g : R → R be two functions defined byStatement I : f is a continuous function at x = 0.Statement II : g is a differentiable function at x = 0.a)Both statements I and II are falseb)Both statement I and II are truec)Statement I is true and statement II is falsed)Statement I is false and statement II is trueCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev