‹ Back to the paper
If , then . Which one of the following is correct?
Assertion: If $\tan^{-1} x + \tan^{-1} y = \frac{\pi}{4}$, then $x + y + xy = 1$.
Reason: $\tan^{-1} x + \tan^{-1} y = \tan^{-1}\left(\frac{x+y}{1-xy}\right)$, $xy < 1$.
Which one of the following is correct?
- aBoth Assertion and Reason are true and Reason is the correct explanation for Assertion.
- bBoth Assertion and Reason are true but Reason is not the correct explanation for Assertion.
- cAssertion is true and Reason is false.
- dAssertion is false and Reason is true.
Answer
No answer yet.
From ISC 2026 Improvement Mathematics Paper 1, question 1(xi).