[rochester] / trunk / rochester_problib / setGeometry3Conics / ur_geo_3_26.pg Repository: Repository Listing bbplugincoursesdistsnplrochestersystemwww

# View of /trunk/rochester_problib/setGeometry3Conics/ur_geo_3_26.pg

Wed Jan 30 21:40:42 2002 UTC (11 years, 3 months ago) by apizer
File size: 986 byte(s)
```new problems from MTH 140A
```

```    1 ##DESCRIPTION
2 ## circle with center in Q4, leading coefficient 2
3 ##ENDDESCRIPTION
4
5 ##KEYWORDS('analytic geometry', 'circle')
6
7 DOCUMENT();        # This should be the first executable line in the problem.
8
10 "PG.pl",
11 "PGbasicmacros.pl",
12 "PGchoicemacros.pl",
14 "PGauxiliaryFunctions.pl"
15 );
16
17 TEXT(&beginproblem);
19
20 \$k = random(1,5,1);\$k4=4*\$k;
21 \$h = random(1,5,1);\$h4=4*\$h;
22 \$r = random(1,1.4*sqrt(\$k**2+\$h**2),1);
23 \$c = 2*(\$k**2+\$h**2-\$r**2);
24
25 TEXT(EV2(<<EOT));
26 \( 2 x^2+2 y^2+\$h4 x+\$k4 y +\$c=0 \) is the equation of a circle with center \( (h,k) \) and radius \( r \) for:\$BR
27 \$BR
28 \( h= \)\{ans_rule(10) \}
29 \$BR
30 EOT
31
32 \$ans = -\$h;
33 &ANS(std_num_cmp(\$ans));
34
35 TEXT(EV2(<<EOT));
36 and\$BR
37 \( k= \) \{ans_rule(10) \}
38 \$BR
39 EOT
40
41 \$ans = -\$k;
42 &ANS(std_num_cmp(\$ans));
43
44 TEXT(EV2(<<EOT));
45 and\$BR
46 \( r= \) \{ans_rule(10) \}
47 \$BR
48 EOT
49
50 \$ans =  \$r;
51 &ANS(std_num_cmp(\$ans));
52 ENDDOCUMENT();        # This should be the last executable line in the problem.
```