Solve the equation

Question:

Given : A circle, $2 x^{2}+2 y^{2}=5$ and a parabola, $y^{2}=4 \sqrt{5} x$.

Statement-I : An equation of a common tangent to these curves is $y=x+\sqrt{5}$.

Statement-II : If the line, $\mathrm{y}=\mathrm{mx}+\frac{\sqrt{5}}{\mathrm{~m}}\left(\mathrm{~m}^{1} 0\right)$ is their common tangent, then $\mathrm{m}$ satisfies $\mathrm{m}^{4}$

  1. Statement 1 is True Statement 2 is True, Statement 2 is a correct explanation for Statement 1. (

  2. Statement 1 is True, Statement 2 is False.

  3. Statement 1 is True, Statement 2 is True statement 2 is not a correct explanation for Statement 1. 

  4. Statement 1 is False, Statement 2 is True


Correct Option: , 2

Solution:

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