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 August 2, 2026 by Teachoo
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.
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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![[CBSE Class 12] Assertion (A): The function f is not onto. - Practice Questions CBSE - Maths Class 12 (2023 Boards)](https://cdn.teachoo.com/d23f4917-73a1-4b82-82eb-e660f9a7a1ab/slide.jpg)
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