Mathematics

Mathematics

Problem

If the line 3x−4y+λ=0,(λ>0)3x - 4y + \lambda = 0, (\lambda > 0) touches the circle x2+y2−4x−8y−5=0x^2 + y^2 - 4x - 8y - 5 = 0 at (a,b)(a, b), then λ+a+b\lambda + a + b is equal to a. −22-22 b. −20-20 c. 2020 d. 2222

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