can anyone help me with this question? Prove that the sum of the x and y intercepts of any tangent line to the curve x^1/2 + y^1/2 = k^1/2 is constant and is equal to k.
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Originally Posted by rawrzjaja can anyone help me with this question? Prove that the sum of the x and y intercepts of any tangent line to the curve x^1/2 + y^1/2 = k^1/2 is constant and is equal to k. First get the equation of the tangent at to the curve at x = a. Can you do that?
Originally Posted by mr fantastic First get the equation of the tangent at to the curve at x = a. Can you do that? Once you do this, solve for both the x and y intercepts. Add them together. They should be equal to k.
not too sure how to get x = a... sry T_T, can you show me please
Originally Posted by rawrzjaja not too sure how to get x = a... sry T_T, can you show me please In more detail: What I've suggested is find the tangent at the general point (a, b) where b is related to a via the equation for the curve.
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