If the points 1 , 1 , λ & ( - 3 , 0 , 1 ) , are equidistant from the plane, 3 x + 4 y - 12 z + 13 = 0 , then λ satisfies the equation:

Question

If the points 1 , 1 , λ & ( - 3 , 0 , 1 ) , are equidistant from the plane, 3 x + 4 y - 12 z + 13 = 0 , then λ satisfies the equation:, 3 x 2 + 10 x + 7 = 0, 3 x 2 + 10 x - 13 = 0, 3 x 2 - 10 x + 7 = 0, 3 x 2 - 10 x + 21 = 0

MARKS App · Accepted Answer

1 , 1 , λ a n d - 3 , 0 , 1 are equidistant from 3 x + 4 y - 12 z + 13 = 0 then 3 + 4 - 12 λ + 13 3 2 + 4 2 + 12 2 = - 9 + 0 - 12 + 13 3 2 + 4 2 + 12 2 20 - 12 λ = - 8 5 - 3 λ = - 2 25 - 30 λ + 9 λ 2 = 4 9 λ 2 - 30 λ + 21 = 0 3 λ 2 - 10 λ + 7 = 0

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