Basic Technical Mathematics, 11th Edition

CHAPTER 21 PRACTICE TEST

As a study aid, we have included complete solutions for each Practice Test problem at the end of this book.

1. (a) Find the distance between $(4\hspace{0.17em},\hspace{0.17em}\hspace{0.17em}-\hspace{0.17em}1)$ and (6, 3). (b) Find the slope of the line perpendicular to the line segment joining the points in part (a).

2. Identify the type of curve represented by the equation $2(x^2\hspace{0.17em}+\hspace{0.17em}x)\hspace{0.17em}=\hspace{0.17em}1\hspace{0.17em}-\hspace{0.17em}{y}^2\hspace{0.17em}.\hspace{0.17em}$

3. Sketch the graph of the straight line $4x\hspace{0.17em}-\hspace{0.17em}2y\hspace{0.17em}+\hspace{0.17em}5\hspace{0.17em}=\hspace{0.17em}0$ by finding its slope and y-intercept.

4. Find the polar equation of the curve whose rectangular equation is $x^2\hspace{0.17em}=\hspace{0.17em}2x\hspace{0.17em}-\hspace{0.17em}{y}^2\hspace{0.17em}.\hspace{0.17em}$

5. Find the vertex and the focus of the parabola $x^2\hspace{0.17em}=\hspace{0.17em}\hspace{0.17em}-\hspace{0.17em}12y\hspace{0.17em}.\hspace{0.17em}$ Sketch the graph.

6. Find the equation of the circle with center at $(\hspace{0.17em}-\hspace{0.17em}1\hspace{0.17em},\hspace{0.17em}2)$ and that passes through (2, 3).

7. Find the equation of the straight line that passes ...