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5.3.2 Parabola

Chapter 5: Chapter 5 · MATHEMATICS-VOLUME 1 · EN medium

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Since e = , for a parabola, we note that the parabola is the locus of points in a plane that are equidistant from both the directrix and the focus. (i) Equation of a parabola in standard form with vertex at ( , ) Let S be the focus and l be the directrix. Draw SZ perpendicular to the line l . Let us assume SZ produced as x -axis and the perpendicular bisector of SZ produced as y - axis. The intersection of this perpendicular bisector with SZ be the origin O . Fig. . Fig.

📖 Class 12 Mathematics English Volume 1 2025 Edition www.tntextbooks.in · Page 191

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Since e = , for a parabola, we note that the parabola is the locus of points in a plane that are equidistant from both the directrix and the focus. (i) Equation of a parabola in standard form with vertex at ( , ) Let S be the focus and l be the directrix. Draw SZ perpendicular to the line l . Let us assume SZ produced as x -axis and the perpendicular bisector of SZ produced as y - axis.

The intersection of this perpendicular bisector with SZ be the origin O . Fig. . Fig.

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