MathDB

Let

r

be the distance from the origion to a point

P

with coordinates

x

and

y

. Designate the ratio

\frac{y}{r}

s

and the ratio

\frac{x}{r}

c

. Then the values of s^2 \minus{} c^2 are limited to the numbers: (A)\ \text{less than }{\minus{}1}\text{ are greater than }{\plus{}1}\text{, both excluded}\qquad\\ (B)\ \text{less than }{\minus{}1}\text{ are greater than }{\plus{}1}\text{, both included}\qquad \\ (C)\ \text{between }{\minus{}1}\text{ and }{\plus{}1}\text{, both excluded}\qquad \\ (D)\ \text{between }{\minus{}1}\text{ and }{\plus{}1}\text{, both included}\qquad \\ (E)\ {\minus{}1}\text{ and }{\plus{}1}\text{ only}

Problem Statement