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Let S1 -= x^2 +y^2 - a^2 = 0 and S2 -= x...

Let `S_1 -= x^2 +y^2 - a^2 = 0 and S_2 -= x^2 + y^2 - 2sqrt(2) x - 2 sqrt(2) y-a=0` be two circles. Statement 1 : The value of `a` for which the circles `S_1 = 0 and S_2 = 0` have exactly three common tangents are 0 and 5. Statement 2 : Two circles have exactly 3 common tangents if they touch each other externally. (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not a correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

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