1991 年

$(a^{2a})(3a^{4a})=$

$\dfrac{1}{1-x^2}-\dfrac{1}{(1+x)^2}=$

Which one of the following is a factor of $x^3-4x^2+x+6$?

If $y=\sqrt{\dfrac{1+mx}{1-mx}}$, then $x=$

The L.C.M. of $x$, $2x^2$, $3x^3$, $4x^4$, $5x^5$ is

In which of the following cases the equation $\mathrm{f}(x)=0$ cannot be solved by the method of bisection?

Solve the following equations: $x-1=y+2=x+y-5$

Let $y$ vary partly as $\dfrac{1}{x}$ and partly as $x$. When $x=1$, $y=5$ and when $x=4$, $y=\dfrac{25}{2}$. Find $y$ when $x=2$.

If $\dfrac{1}{a}:\dfrac{1}{b}=2:3$ and $a:c=4:1$, then $a:b:c=$

A blanket loses $10\%$ of its length and $8\%$ of its width after washing. The percentage loss in area is