12th Class Mathematics Continuity and Differentiability

  • question_answer 137) If (x? a)2 + (y ? b)2 = c2, c > 0, prove that        is a constant and independent of a and b.  

    Answer:

    (x ? a)2 + (y ? b)2 = c2                                 ?. (1)       Diff. w.r.t. x.       2(x ? a) + 2 (y ? b)y1 = 0                                            ?.. (2)                    Diff. again w.r.t.x.                                                           [By (1)]] ?. (3)        [by (2) and (3)]                             [by (1)]             Independent of a and b. Hence the result.  


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