Match the following.
 

	List – I		List – II
(A)	Let $y\left(x\right)=\cos \left(3{\cos }^{-1}x\right), x ϵ \left[-1, 1\right], x\ne \pm \frac{\sqrt{3}}{2}.$ Then $\frac{1}{y\left(x\right)} \left\{\left(x^2-1\right)\frac{d^{2}y\left(x\right)}{d{x}^2}+x\frac{dy\left(x\right)}{dx}\right\}$ equals	(P)	1
(B)	Let $A_1, A_2, \dots , A_n\left(n>2\right)$ be the vertices of a regular polygon of n sides with its centre at the origin. Let $\overrightarrow{a_k}$ be the position vector of the point $A_k, k=1, 2, \dots n.$ If $\left|{\sum }_{k=1}^{n-1}\left(\mathrm{ }\overrightarrow{a_k}\times \mathrm{ }\overrightarrow{a_{k+1}}\right)\right|=\left|{\sum }_{k=1}^{n-1}\left(\mathrm{ }\overrightarrow{a_k} \cdot \mathrm{ }\overrightarrow{a_{k+1}}\right)\right|$ , then the minimum value of n is	(Q)	2
(C)	If the normal from the point $P\left(h, 1\right)$ on the ellipse $\frac{x^2}{6}+\frac{y^2}{3}=1$ is perpendicular to the line $x+y=8,$ then the value of h is	(R)	8
(D)	Number of positive solutions satisfying the equation ${\tan }^{-1}\left(\frac{1}{2x+1}\right)+{\tan }^{-1}\left(\frac{1}{4x+1}\right)={\tan }^{-1}\left(\frac{2}{x^2}\right)$ is	(S)	9

• A

  a-r;b-q;c-s;d-p;
• Correct answer
  B

  a-s;b-r;c-q;d-p;
• C

  a-r;b-q;c-s;d-p;
• D

  a-q;b-p;c-r;d-s;

Hence, the correct answer is option: 'B'.