The curves given above can be considered as and . Observe the given graph:
Assertion: The curves given above can be considered as $f(x)$ and $f^{-1}(x)$.
Reason: The curves are reflections of each other across the line $x = y$.
Observe the given graph:
- aBoth Assertion and Reason are true, and Reason is the correct explanation of Assertion.
- bBoth Assertion and Reason are true, but Reason is not the correct explanation of Assertion.
- cAssertion is true and Reason is false.
- dAssertion is false and Reason is true.
Answer
Answer
AIWritten by AI - it can contain mistakes.
Correct option: a
(a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
The curves represent $f(x)$ and $f^{-1}(x)$ because the graph of $f^{-1}(x)$ is obtained by reflecting the graph of $f(x)$ across the line $y = x$. Geometric reflection across the line $y = x$ interchanges the x and y coordinates, matching the algebraic definition of the inverse function.
From ISC 2027 Specimen Mathematics Paper 1, question 1(xvi).