Question

IF tan^-1(a/x) + tan^-1(b/x) = π/2 ,then x =?​

Answer 1

Answer:

What did youvll written....ghr

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

tan^-1[(a/x+b/x)/1-(a/x)(b/x)] = π/2

tan^-1[ (ab/x)/1-(ab/x^2)] = π/2

(ab/x)/1-ab/x^2 = tanπ/2

1-(ab/x^2) = 0

1 = ab/x^2

x^2= ab

x=√ab