If the eccentricity of a parabola is e, what is the value of e?
Practice Questions
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If the eccentricity of a parabola is e, what is the value of e?
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The eccentricity of a parabola is always equal to 1.
Questions & Step-by-step Solutions
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Q
Q: If the eccentricity of a parabola is e, what is the value of e?
Solution: The eccentricity of a parabola is always equal to 1.
Steps: 5
Step 1: Understand what eccentricity means. Eccentricity is a number that describes how much a conic section (like a circle, ellipse, parabola, or hyperbola) deviates from being circular.
Step 2: Know the types of conic sections. There are four types: circle (e=0), ellipse (0 < e < 1), parabola (e=1), and hyperbola (e > 1).
Step 3: Identify the conic section in the question. The question is about a parabola.
Step 4: Recall the definition of eccentricity for a parabola. For a parabola, the eccentricity is always equal to 1.
Step 5: Conclude that since the question is about a parabola, the value of eccentricity (e) is 1.
