CHAPTER 21 REVIEW EXERCISES

CONCEPT CHECK EXERCISES

Determine each of the following as being either true or false. If it is false, explain why.

  1. The distance between (4 ,  − 3) and (3 ,  − 4) is 2 . 

  2. 2y − 3x = 6 is a straight line with intercepts (2,0) and (0,3).

  3. The center of the circle x2 + y2 + 2x + 4y + 5 = 0 is (1, 2).

  4. The directrix of the parabola x2 = 8y is the line y = 2.

  5. The vertices of the ellipse 9x2 + 4y2 = 36 are (2,0) and ( − 2 ,  0) . 

  6. The foci of the hyperbola 9x2 − 16y2 = 144 are ( − 5 ,  0) and (5, 0).

  7. The equation x2 = (y − 1)2 represents a hyperbola.

  8. The equation 5x2 − 8xy + 5y2 = 9 represents an ellipse.

  9. The rectangular equation x = 2 represents the same curve as the polar equation r = 2  sec θ . 

  10. The graph of the polar equation ...

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