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Nostrana [21]
3 years ago
10

If you add the lengths of the focal radii of an ellipse, what other value will you produce?

Mathematics
2 answers:
ss7ja [257]3 years ago
8 0

Equation of an ellipse

→having center (0,0) , vertex ((\pm a ,0) and covertex (\pm b ,0) and focus (\pm c ,0) is given by:

\frac{x^2}{a^2} + \frac{y^2}{b^2}=1

As definition of an ellipse is that locus of all the points in a plane such that it's  distance from two fixed points called focii  remains constant.

Consider two points (a,0) and (-a,0) on Horizontal axis of an ellipse:

Distance from (a,0) to (c,0) is = a-c = F_{1}

Distance from (-a,0) to (c,0) is = a + c = F_{2}

F_{1} + F_{2} = a -c + a +c

          = a + a

        = 2  a  →(Option A )


netineya [11]3 years ago
6 0
The figure below shows the representation of this problem. We know from mathematics that <span>an </span>ellipse<span> is a </span>curve in a plane<span> surrounding two </span>focal points<span> called F1 and F2, such that the sum of the distances to the two focal points is constant for every point on the curve. So, for the figure </span><span>If you add the lengths of the focal radii of an ellipse will produce a constant value equal to 2a that is the line in red.</span>

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