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If the equation of latus rectum of a par...

If the equation of latus rectum of a parabola is `x+y-8=0` and the equation of the tangent at the vertex is `x+y-12=0,` then the length of the latus rectum is-

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The equation of the latus rectum of a parabola is x+y=8 and the equation of the tangent at the vertex is x+y=12. Then find the length of the latus rectum.

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