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Class 12 Tuition > What is latus rectum?
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What is latus rectum?

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+2 Mathematics Parabola

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In any conics (i.e., parabola or ellipse or hyperbola ), a line passing through its focus and parallel to its directrix is called the latus rectum. For example, in parabola: square of y = 4ax, the equation of the latus ractum y=a and its length = 4a; in ellipse: square of (x/a) + square of (y/b)=1,...
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In any conics (i.e., parabola or ellipse or hyperbola ), a line passing through its focus and parallel to its directrix is called the latus rectum. For example, in parabola: square of y=4ax, the equation of the latus ractum y=a and its length=4a; in ellipse: square of (x/a) + square of (y/b)=1, a>b, the equation of the latus ractum y=ae, -ae and its length = 2(square of b)/a; in hyperbola: square of (x/a) - square of (y/b)=1, the equation of the latus ractum y=ae, -ae and its length = 2(square of b)/a; read less
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In any conics (i.e., parabola or ellipse or hyperbola ), a line passing through its focus and parallel to its directrix is called the latus rectum. For example, in parabola: square of y=4ax, the equation of the latus ractum y=a and its length=4a; in ellipse: square of (x/a) + square of (y/b)=1, a>b,...
read more
In any conics (i.e., parabola or ellipse or hyperbola ), a line passing through its focus and parallel to its directrix is called the latus rectum. For example, in parabola: square of y=4ax, the equation of the latus ractum y=a and its length=4a; in ellipse: square of (x/a) + square of (y/b)=1, a>b, the equation of the latus ractum y=ae, -ae and its length = 2(square of b)/a; in hyperbola: square of (x/a) - square of (y/b)=1, the equation of the latus ractum y=ae, -ae and its length = 2(square of b)/a; read less
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