Practice Questions CBSE - Maths Class 12 (2023 Boards)

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

Last updated at April 16, 2024 by

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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Transcript

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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