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Math Help - sum of intercepts

  1. #1
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    sum of intercepts

    I was just wondering if any one could help me find the solution to this problem:
    If L is a tangent to the curve with equation sqrt( x )+sqrt(y)=sqrt(c ), show that the sum of intercepts of L is equal to c
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  2. #2
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    Quote Originally Posted by BAHADEEN View Post
    I was just wondering if any one could help me find the solution to this problem:
    If L is a tangent to the curve with equation sqrt( x )+sqrt(y)=sqrt(c ), show that the sum of intercepts of L is equal to c
    If a\ne 0~\&~b\ne 0 can you show the slope at (a,b) on that curve is -\frac{\sqrt{b}}{\sqrt{a}}~?

    Then what is the equation of the tangent line there?
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