List- IList-II(I)323∫01+x+√x2+x3x+√1+xdx(P) 1(II)Number of integer(s) in the range of the(Q) 2function f(x)=285+x2+x4 is(III) If limx→π2tan2x(√4sin2x+sinx+3(R) 3 −√3sin2x+4sinx+1)=1√32k,then k=(IV)→a,→b and →c are three vectors such(S) 4that there magnitudes are in the ratio1:2:3. The angle between each ofthem is π3 and |→a+→b+→c|=10,then magnitude of →a is(T) 5(U) 7Which of the following is the only INCORRECT combination?

List- IList-II(I)323∫01+x+√x2+x3x+√1+xdx(P) 1(II)Number of in

1.	List- IList-II(I)323∫01+x+√x2+x3x+√1+xdx(P) 1(II)Number of integer(s) in the range of the(Q) 2function f(x)=285+x2+x4 is(III) If limx→π2tan2x(√4sin2x+sinx+3(R) 3 −√3sin2x+4sinx+1)=1√32k,then k=(IV)→a,→b and →c are three vectors such(S) 4that there magnitudes are in the ratio1:2:3. The angle between each ofthem is π3 and \|→a+→b+→c\|=10,then magnitude of →a is(T) 5(U) 7Which of the following is the only INCORRECT combination?
Answer» $\begin{matrix} List- I & List-II (I) & \frac{3}{2} 3 \int 0 \frac{1 + x + \sqrt{x^{2} + x^{3}}}{x + \sqrt{1 + x}} d x & (P) & 1 (II) & Number of integer(s) in the range of the & (Q) & 2 function f (x) = \frac{28}{5 + x^{2} + x^{4}} is (III) & If lim x \to \frac{π}{2} {tan}^{2} x (\sqrt{4 {sin}^{2} x + sin x + 3} & (R) & 3 - \sqrt{3 {sin}^{2} x + 4 sin x + 1}) = \frac{1}{\sqrt{32 k}}, then k = (IV) & \to a, \to b and \to c are three vectors such & (S) & 4 that there magnitudes are in the ratio 1 : 2 : 3. The angle between each of them is \frac{π}{3} and \| \to a + \to b + \to c \| = 10, then magnitude of \to a is (T) & 5 (U) & 7 \end{matrix}$ Which of the following is the only INCORRECT combination?