Please solve 26:

26. Let the quadratic equation jx2+(j-3)x+1=0 has two equal roots for two values of j. If these two values of j are A and M, with A<M, then the value of (tan-1 A+tan-1M) equals:


A   π - tan - 1 5 4                         B   tan - 1 - 5 4 C   π + tan - 1 5 4                       D   tan - 1 5 4

Dear Student,
Please find below the solution to the asked query:

jx2+j-3x+1=0Discriminant=0j-32-4j=0j2+9-6j-4j=0j2-10j+9=0j2-j-9j+9=0jj-1-9j-1=0j-1j-9=0j=1 or j=9HenceA=1 and M=9tan-1A+tan-1M=tan-11+tan-19=π+tan-11+91-9  tan-1x+tan-1y=π+tan-1x+y1-xy=π+tan-1-108=π+tan-1-54=π-tan-154

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