Give the appropriate figures for the population in India in million at (a) the beginning and (b) the end of twentieth century. (a) ___________ (b) ___________

Q. In 1991 population of India was
(a) 680 million
(b) 550 million
(c) 840 million
(d) 1000 million

Q. If the function f(x) and g(x) are continuous in [a, b] and differentiable in (a, b), then the equation $\left|\begin{array}{cc}f\left(a\right)& f\left(b\right)\\ g\left(a\right)& g\left(b\right)\end{array}\right|=(b-a)\left|\begin{array}{cc}f\left(a\right)& f^{\prime }\left(x\right)\\ g\left(a\right)& g^{\prime }\left(x\right)\end{array}\right|$ has, in the interval [a, b].

Q. In figure (a), a metre stick, half of which is wood and the other half steel is pivoted at the wooden end at $O$ and a force is applied to the steel end at $a$. In figure (b), the stick is pivoted at the steel end at $O^{\prime }$ and the same force is applied at the wooden end at $a^{\prime }$. The angular acceleration

Q. If $A=\left[\begin{array}{cc}a& b\end{array}\right],B=\left[\begin{array}{cc}-b& -a\end{array}\right]$ and $C=\left[\begin{array}{c}a\\ -a\end{array}\right]$, then the correct statement is