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Prove that the curves y^2=4xa n dx^2+y^2...

Prove that the curves `y^2=4xa n dx^2+y^2-6x+1=0` touch each other at the point (1,2).

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To prove that the curves \( y^2 = 4x \) and \( x^2 + y^2 - 6x + 1 = 0 \) touch each other at the point \( (1, 2) \), we will follow these steps: ### Step 1: Verify that the point (1, 2) lies on both curves. **For the first curve:** The equation is \( y^2 = 4x \). Substituting \( x = 1 \) and \( y = 2 \): ...
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