Let f, g : R andrarr; 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?

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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?

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JEE Main 2014 April 12 Paper & Solutions

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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.

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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?

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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?.

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