The equation of latus rectum of parabola is x+y=8 and the equation of the tangent of the vertex is x+y=12 and length of the latus rectum is a2 , then the value of a is

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answer is 8.

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Detailed Solution

Length of the latusrectum is 4 times the distance between the tangent at the vertex and the latusrectuma2=4⋅12−82=4⋅42a=8

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