Equation of the minor axis of the ellipse is (a) 3 x+4 y-1=0 (b) 4 x+3 y-6=0 (c) 6 x+8 y-19=0 (d

step 1 Let's find out the equation of minor axis. So you know right the axis axis of major axis, major

Equation of the minor axis of the ellipse is (a) 3 x+4 y-1=0...

Key Concepts

Coordinate Geometry and Line Equations

In coordinate geometry, the equation of a line is used to describe the orientation and position of axes of symmetry in conic sections like ellipses. Determining which given line corresponds to the minor axis involves understanding the slope, intercepts, and how the line relates to the center and orientation of the ellipse.

Minor Axis

The minor axis is the shorter diameter of the ellipse and is perpendicular to the major axis at the center. It represents the extent of the ellipse in the direction where it is narrowest, and its equation in coordinate geometry often reflects the orientation and location of the ellipse's center and alignment.

Axes of an Ellipse

An ellipse has two principal axes: the major axis, which is the longest diameter, and the minor axis, which is the shortest. These axes are perpendicular to each other and intersect at the center of the ellipse. They are the lines of symmetry for the ellipse and are key in understanding its geometric configuration.

Ellipse

An ellipse is a type of conic section that appears as a closed, symmetric curve. It is defined as the set of all points in a plane for which the sum of the distances from two fixed points (the foci) is constant. The standard form of its equation reflects its geometric properties and is useful in analyzing its axes and symmetry.

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