List I has four entries and List II has five entries. Each entry of List I is to be matched with one entry of List II. List IList II (A)If x=√6+√6+√6+⋯up to ∞, then x is equal to(P)4(B)If a and x are positive integers suchthat x<a and √a−x,√x,√a+x(Q)5are in A.P., then least possible value of a is(C)If 3a+2b+4c=0,a,b,c∈R and the line ax+by+c=0 always passesthrough a fixed point (p,q), then thevalue of 2p+q is(R)2(D)If k(sin18∘+cos36∘)2=5, then thevalue of k is(S)3(T)6Which of the following is the only CORRECT combination?

List I has four entries and List II has five entries. Each entry of Li

1.	List I has four entries and List II has five entries. Each entry of List I is to be matched with one entry of List II. List IList II (A)If x=√6+√6+√6+⋯up to ∞, then x is equal to(P)4(B)If a and x are positive integers suchthat x<a and √a−x,√x,√a+x(Q)5are in A.P., then least possible value of a is(C)If 3a+2b+4c=0,a,b,c∈R and the line ax+by+c=0 always passesthrough a fixed point (p,q), then thevalue of 2p+q is(R)2(D)If k(sin18∘+cos36∘)2=5, then thevalue of k is(S)3(T)6Which of the following is the only CORRECT combination?
Answer» $List I$ has four entries and $List II$ has five entries. Each entry of $List I$ is to be matched with one entry of $List II .$ $\begin{matrix} List I & List II (A) & If x = \sqrt{6 + \sqrt{6 + \sqrt{6 + \dots up to \infty}}}, then x is equal to & (P) & 4 (B) & If a and x are positive integers such that x < a and \sqrt{a - x}, \sqrt{x}, \sqrt{a + x} & (Q) & 5 are in A.P., then least possible value of a is (C) & If 3 a + 2 b + 4 c = 0, a, b, c \in R and the line a x + b y + c = 0 always passes through a fixed point (p, q), then the value of 2 p + q is & (R) & 2 (D) & If k (sin 18^{\circ} + cos 36^{\circ})^{2} = 5, then the value of k is & (S) & 3 (T) & 6 \end{matrix}$ Which of the following is the only CORRECT combination?