Match the columns: \( \mathrm{P} \) W Column-I Column-II (A) If \( ...
0Match the columns:
\( \mathrm{P} \)
W
Column-I
Column-II
(A) If \( a=3(\sqrt{8+2 \sqrt{7}}-\sqrt{8-2 \sqrt{7}}), b=\sqrt{(42)(30)+36} \)
(p) \( -1 \) then the value of \( \log _{a} b \) is equal to
(B) If \( a=\sqrt{4+2 \sqrt{3}}-\sqrt{4-2 \sqrt{3}}, b=\sqrt{11+6 \sqrt{2}}-\sqrt{11-6 \sqrt{2}} \),
(q) 1 then the value of \( \log _{a} b \) is equal to
(C) If \( a=\sqrt{3+2 \sqrt{2}}, b=\sqrt{3-2 \sqrt{2}} \)
(r) 2 then the value of \( \log _{a} b \) is equal to
(D) If \( a=\sqrt{7+\sqrt{7^{2}-1}}, b=\sqrt{7-\sqrt{7^{2}-1}} \),
(s) \( \quad \frac{3}{2} \) then the value of \( \log _{a} b \) is equal to
(E) The number of zeroes at the end of the product of first 20
(t) None prime numbers, is
(F) The number of solutions of \( 2^{2 x}-3^{2 y}=55 \), in which \( x \) and \( y \) are integers, is
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