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Let $y^2-4ax+4a=0$ and $x^2+y^2-2(1+a)x+1+2a-3a^2=0$ be two curves. State which one of the following statements is true.

  1. These two curves intersect at two points
  2. These two curves are tangent to each other
  3. These two curves intersect orthogonally at one point
  4. These two curves do not intersect
in Geometry by Veteran (431k points)
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What could be the right way to solve this?

I am trying by putting $y^2$ value from equation 1 to equation 2.



yeah, it is right way or subtract one equation from other to eliminate 'y'. Here, answer should be (A).


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