# sum of intercepts

• May 12th 2011, 01:33 PM
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
• May 12th 2011, 02:14 PM
Plato
Quote:

If $a\ne 0~\&~b\ne 0$ can you show the slope at $(a,b)$ on that curve is $-\frac{\sqrt{b}}{\sqrt{a}}~?$