The distance between two parallel planes a x+b y+c z+d_1=0, a x+b y+c z+d_2=0 is given by {{| d_1-d_2 |}}/{\sqrt{a^2+b^2+c^2}}. If the plane 2 x-y+2 z+3=0 has the distances \frac{1}{3} and \frac{2}{3} units from the planes 4 x-2 y+4 z+\lambda=0 and 2 x-y+2 z+\mu=0 respectively, then the maximum value of \lambda+\mu is

AP EAPCET 15th May 2023 Shift 1 Solved Paper

Section: Mathematics

Question : 49 of 160

Marks: +1, -0

The distance between two parallel planes ax+by+cz+d1=0, ax+by+cz+d2=0 is given by ‌

|d1−d2|

√a2+b2+c2

. If the plane 2x−y+2z+3=0 has the distances ‌

and ‌

units from the planes 4x−2y+4z+λ=0 and 2x−y+2z+µ=0 respectively, then the maximum value of λ+µ is

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