Shown below is the graph of the function

f :R-{0}→ R defined by, f(x)=(9-x^2)/(9x-x^2 )

 

Based on the above function, two statements are given below - one labelled Assertion (A) and the other labelled Reason (R). Read the statements carefully and choose the option that correctly describes statements (A) and (R).

Assertion (A): The function f is not onto.

Reason (R): 3 ∈ R (co-domain of f) has no pre-image in the domain of f.

A. Both A and R are true and R is the correct explanation of A.

B. Both A and R are true but R is not the correct explanation of A.

C. A is true but R is false.

D. Both A and R are false.

[CBSE Class 12] Assertion (A): The function f is not onto. - Practice Questions CBSE - Maths Class 12 (2023 Boards)

part 2 - Question 19 [Assertion Reasoning] - Practice Questions CBSE - Maths Class 12 (2023 Boards) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

 

 

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Shown below is the graph of the function f :R−{0}→ R defined by, f(𝑥)=(9−𝑥^2)/(9𝑥−𝑥^2 ) Based on the above function, two statements are given below - one labelled Assertion (A) and the other labelled Reason (R). Read the statements carefully and choose the option that correctly describes statements (A) and (R). Assertion (A): The function f is not onto. Reason (R): 3 ∈ R (co-domain of f) has no pre-image in the domain of f. A. Both A and R are true and R is the correct explanation of A. B. Both A and R are true but R is not the correct explanation of A. C. A is true but R is false. D. Both A and R are false.

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo