Which of the following is the equation of a hyperbola with transverse axis along
Practice Questions
Q1
Which of the following is the equation of a hyperbola with transverse axis along the x-axis?
x^2/a^2 - y^2/b^2 = 1
y^2/a^2 - x^2/b^2 = 1
x^2/b^2 - y^2/a^2 = 1
y^2/b^2 - x^2/a^2 = 1
Questions & Step-by-Step Solutions
Which of the following is the equation of a hyperbola with transverse axis along the x-axis?
Step 1: Understand what a hyperbola is. A hyperbola is a type of curve formed by the intersection of a double cone with a plane.
Step 2: Know that hyperbolas can have two types of axes: transverse and conjugate. The transverse axis is the line segment that connects the two vertices of the hyperbola.
Step 3: Identify the orientation of the hyperbola. If the transverse axis is along the x-axis, the hyperbola opens to the left and right.
Step 4: Learn the standard form of the equation for a hyperbola with a transverse axis along the x-axis. It is given by the formula: x^2/a^2 - y^2/b^2 = 1.
Step 5: Recognize that 'a' and 'b' are constants that determine the shape and size of the hyperbola.
