Question

Match the following:

Column I		Column II
A	$2\cot \left({\cot }^{-1}(3)+{\cot }^{-1}(7)+{\cot }^{-1}(13)+{\cot }^{-1}(21)\right)$ has the value equal to	P	3
B	If $\tan \left({\tan }^{-1}\left(\frac{1}{3}\right)+{\tan }^{-1}\left(\frac{1}{7}\right)+{\tan }^{-1}\left(\frac{1}{13}\right)+\dots +{\tan }^{-1}\left(\frac{1}{381}\right)\right)=\frac{m}{n}$ where $m,n\in N$, then the least value of $(m+n)$ is divisible by	Q	4
C	Number of integral ordered pairs $(x,y)$ satisfying the equation $\arctan \frac{1}{x}+\arctan \frac{1}{y}=\arctan \frac{1}{10}$, is	R	5
D	The smallest positive integral value of $n$ for which $(n-2)x^2+8x+n+4>{\sin }^{-1}(\sin 12)+{\cos }^{-1}(\cos 12)\forall x\in R$, is	S	8
		T	10

• A. $A\to P;B\to Q,R,S,T;C\to Q;D\to P$
• B. $A\to P;B\to Q,R,S,T;C\to Q;D\to Q$
• C. $A\to P;B\to Q,R,S,T;C\to Q;D\to R$
• D. $A\to P;B\to Q,R,S,T;C\to Q;D\to S$

Answer 1

Answer: (C)

Correct answer is (c) $A\to P;B\to Q,R,S,T;C\to Q;D\to R$