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Fix wording of ellipse problem #1036

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Merged
merged 1 commit into from
Apr 27, 2023
Merged

Fix wording of ellipse problem #1036

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9 changes: 7 additions & 2 deletions OpenProblemLibrary/Wiley/setAnton_Section_10.4/Anton10_4Q21.pg
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Original file line number Diff line number Diff line change
Expand Up @@ -49,6 +49,11 @@ $y1=non_zero_random(1,8,1);
$n1=$as1*$y1**2;
$d1=($as1-$x1**2);
($n1,$d1)=reduce($n1,$d1);
if ($as1 > $n1/$d1) {
$majorminor = "major";
} else {
$majorminor = "minor";
}
$f1=Formula("x^2/$as1 +y^2/(b)^2");
$xs1=$x1**2;
$ys1=$y1**2;
Expand Down Expand Up @@ -86,7 +91,7 @@ Context()->texStrings;
BEGIN_TEXT
Find an equation for the ellipse that satisfies the following conditions.
$PAR
(a) Ends of major axis \((\pm $a1,0)\) and passes through \(($x1,$y1)\).
(a) Ends of $majorminor axis \((\pm $a1,0)\) and passes through \(($x1,$y1)\).
$PAR

\(1=\) \{ ans_rule(50) \}
Expand All @@ -103,7 +108,7 @@ ANS( $ans2->cmp );
Context()->texStrings;
SOLUTION(EV3(<<'END_SOLUTION'));
$PAR SOLUTION $PAR
(a) The major axis lies on the \(x\)-axis and \(a=$a1\) will have the form\[$f1=1\]. Substituting in the point \(($x1,$y1)\) gives
(a) The $majorminor axis lies on the \(x\)-axis and \(a=$a1\) will have the form\[$f1=1\]. Substituting in the point \(($x1,$y1)\) gives
\[$f1v=1\] which solves to give \(b^2=$bs1\).
Our final equation is then \[1=$F1\]
$PAR
Expand Down