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Write the word TRUE if the statement is correct: otherwise, write FALSE 1. A circle is a special kind of an ellipse. 2 When the plane intersects a circular cone at an angle that is parallel to the edge of the cone, the shape formed is a circle 3. The circle represented by the equation x 2+y2-1 passes through the origin. 4. All parabolas with vertical directrix open to the left or to the right.

Write the word TRUE if the statement is correct: otherwise, write FALSE 1. A circle is a special kind of an ellipse. 2 When the plane intersects a circular cone at an angle that is parallel to the edge of the cone, the shape formed is a circle 3. The circle represented by the equation x 2+y2-1 passes through the origin. 4. All parabolas with vertical directrix open to the left or to the right.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.3: Conics
Problem 99E
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Write the word TRUE if the statement is correct: otherwise, write FALSE. 1.A circle is a special kind of an ellipse. 2. When the plane intersects a circular cone at an angle that is parallel to the edge of the cone, the shape formed is a circle 3. The circle represented by the equation x 2+ y 2-1 passes through the origin. 4. All parabolas with vertical directrix open to the left or to the right. S.A parabola with the equation (y-k)2 = 4p(x- h) has an axis of symmetry y- k, vertex at (h, k), and p as directed distance from the vertex to the focus. 6. The minor axis of an ellipse is the segment that passes through the focus and is perpendicular to the major axis. 7. The x-coordinates of the foci of a vertical ellipse are equal. 8 In the standard equation of an ellipse, if the x- part has the bigger denominator, the ellipse is horizontal. 9. A hyperbola is the set of all points in a plane such that the absolute value of the difference of the distances from any point on the hyperbola to the foci is constant. 10. The hyperbola x 2 a2 - y2 b2 = 1 has a horizontal transverse axis and 2 asymptotes y tabx,
Transcribed Image Text:Write the word TRUE if the statement is correct: otherwise, write FALSE. 1.A circle is a special kind of an ellipse. 2. When the plane intersects a circular cone at an angle that is parallel to the edge of the cone, the shape formed is a circle 3. The circle represented by the equation x 2+ y 2-1 passes through the origin. 4. All parabolas with vertical directrix open to the left or to the right. S.A parabola with the equation (y-k)2 = 4p(x- h) has an axis of symmetry y- k, vertex at (h, k), and p as directed distance from the vertex to the focus. 6. The minor axis of an ellipse is the segment that passes through the focus and is perpendicular to the major axis. 7. The x-coordinates of the foci of a vertical ellipse are equal. 8 In the standard equation of an ellipse, if the x- part has the bigger denominator, the ellipse is horizontal. 9. A hyperbola is the set of all points in a plane such that the absolute value of the difference of the distances from any point on the hyperbola to the foci is constant. 10. The hyperbola x 2 a2 - y2 b2 = 1 has a horizontal transverse axis and 2 asymptotes y tabx,
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