JEE Advance - Mathematics (2007 - No. 9)
Match the integrals in Column $$I$$ with the values in Column $$II$$ and indicate your answer by darkening the appropriate bubbles in the $$4 \times 4$$ matrix given in the $$ORS$$.
Column $$I$$
(A) $$\int\limits_{ - 1}^1 {{{dx} \over {1 + {x^2}}}} $$
(B) $$\int\limits_0^1 {{{dx} \over {\sqrt {1 - {x^2}} }}} $$
(C) $$\int\limits_2^3 {{{dx} \over {1 - {x^2}}}} $$
(D) $$\int\limits_1^2 {{{dx} \over {x\sqrt {{x^2} - 1} }}} $$
Column $$II$$
(p) $${1 \over 2}\log \left( {{2 \over 3}} \right)$$
(q) $$2\log \left( {{2 \over 3}} \right)$$
(r) $${{\pi \over 3}}$$
(s) $${{\pi \over 2}}$$
(A) - (p), (B) - (q), (C) - (r), (D) - (s)
(A) - (r), (B) - (s), (C) - (p), (D) - (r)
(A) - (s), (B) - (s), (C) - (p), (D) - (r)
(A) - (r), (B) - (s), (C) - (q), (D) - (r)
(A) - (s), (B) - (r), (C) - (p), (D) - (q)
Comments (0)
