Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion: If y = sin^{1} then
Reason:
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : sin x is continuous for all x ∈ R.
Reason : sin x and x are continuous in R.
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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : A continuous function is always differentiable.
Reason : A differentiable function is always continuous.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : f(x) = tan^{2} x is continuous at x = π/2
Reason : g(x) = x^{2} is continuous at x = π/2.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : f(x) = [x] is not differentiable at x = 2.
Reason : f(x) = [x] is not continuous at x = 2.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Consider the function which is continuous at x = 0.
Assertion (A): The value of k is – 3.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): sin x is continuous at x = 0.
Reason (R): sin x is differentiable at x = 0.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Consider the function
which is continuous at x = 2.
Assertion (A): The value of k is 0.Reason (R): f(x) is continuous at x = a, if
204 videos288 docs139 tests

Test: Continuity and Differentiability Case Based Type Questions Test  10 ques 
Important Questions: Continuity & Differentiability Doc  2 pages 
NCERT Solutions Exercise 5.5: Continuity & Differentiability Doc 
NCERT Solutions Exercise 5.6: Continuity & Differentiability Doc 
NCERT Solutions Exercise 5.7: Continuity & Differentiability Doc 
204 videos288 docs139 tests

Test: Continuity and Differentiability Case Based Type Questions Test  10 ques 
Important Questions: Continuity & Differentiability Doc  2 pages 
NCERT Solutions Exercise 5.5: Continuity & Differentiability Doc 
NCERT Solutions Exercise 5.6: Continuity & Differentiability Doc 
NCERT Solutions Exercise 5.7: Continuity & Differentiability Doc 