1996 年

Find the equation of the straight line which passes through $(3,-1)$ and is perpendicular to $2x-y+1=0$.

The bar chart below shows the number of electronic dictionaries sold in a shop last week:

Of those electronic dictionaries sold last week, what percentage were sold on Sunday?

Which of the following cannot be read directly from a cumulative frequency curve?

I. Mean II. Median III. Mode

There are $10$ parcels. Two of them contain one pen each. If a man opens the parcels at random, what is the probability that he can find the two pens by opening two parcels only?

In a certain game, the probability that John will win is $0.3$. If he plays the game $3$ times, find the probability that he will win at least once.

Simplify $\dfrac{1}{x-1}+\dfrac{1}{x+1}+\dfrac{3x-1}{1-x^2}$.

$m$ and $n$ are multiples of $3$ and $4$ respectively. Which of the following must be true?

I. $mn$ is a multiple of $12$. II. The H.C.F. of $m$ and $n$ is even. III. The L.C.M. of $m$ and $n$ is even.

Let $x>y>0$. If $\log(x+y)=a$ and $\log(x-y)=b$, then $\log\sqrt{x^2-y^2}=$

If $\left(\dfrac{\sqrt3}{3}-\dfrac{1}{2}\right)x=1$, then $x=$

If $3$ is a root of the equation $x^2-x+c=0$, solve $x^2-x+c>0$.