Hyperbola
Standard Equation
Grade 11
Question:
<p>Equation of hyperbola with respect to x-y system referring to transverse axis as x-axis and conjugate axis as y-axis respectively is:</p>
<p>(a) \(\frac{x^2}{18} - y^2 = 1\)</p>
<p>(b) \(\frac{x^2}{2} - \frac{y^2}{18} = 1\)</p>
<p>(c) \(\frac{x^2}{18} - \frac{y^2}{2} = 1\)</p>
<p>(d) \(\frac{x^2}{18} - y^2 = 1\)</p>
Step-by-Step Solution
Key Concept: Standard form of hyperbola with transverse axis along x-axis is \(\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1\).
<p>The equation of a hyperbola with transverse axis along x-axis and conjugate axis along y-axis is \(\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1\). With the given parameters, the equation is \(\frac{x^2}{18} - \frac{y^2}{2} = 1\).</p>
Correct Answer: C