Question:
The equation of the director circle of the hyperbola $\frac {x^{2}} {16}-\frac{y^{2}} {4}=1$ is given by .............
The equation of the director circle of the hyperbola $\frac {x^{2}} {16}-\frac{y^{2}} {4}=1$ is given by .............
Updated On: Apr 18, 2024
- $x^2 + y^2 = 16$
- $x^2 + y^2 = 4$
- $x^2 + y^2 = 20$
- $x^2 + y^2 = 12$
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The Correct Option is D
Solution and Explanation
Answer (d) $x^2 + y^2 = 12$
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Concepts Used:
Hyperbola
Hyperbola is the locus of all the points in a plane such that the difference in their distances from two fixed points in the plane is constant.
Hyperbola is made up of two similar curves that resemble a parabola. Hyperbola has two fixed points which can be shown in the picture, are known as foci or focus. When we join the foci or focus using a line segment then its midpoint gives us centre. Hence, this line segment is known as the transverse axis.
