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Prove that the product of the perpendicu...

Prove that the product of the perpendiculars from the foci upon any tangent to the ellipse `x^2/a^2+y^2/b^2=1` is `b^2`

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The hyperbola is on minor axis=>`y=b`
The two focii are`S_1(ae,0)` and `S_2(-ae,0)`
Let tangent be=>`ax+by+c=0`
Perpendicular length from focii to tangent=>`S_1(b) AND S_2(b)`
Their product=`b^2`
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