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Let C1 be the circle with center O1(0,0)...

Let `C_1` be the circle with center `O_1(0,0)` and radius 1 and `C_2` be the circle with center `O_2(t ,t^2+1),(t in R),` and radius 2. Statement 1 : Circles `C_1a n dC_2` always have at least one common tangent for any value of `t`
Statement 2 : For the two circles `O_1O_2geq|r_1-r_2|,` where `r_1a n dr_2` are their radii for any value of `tdot`
(a) Statement 1 and Statement 2 are correct. Statement 2 is the correct explanation for the Statement 1
(b) Statement 1 and Statement 2 are correct. Statement 2 is not the correct explanation for the Statement 1
(c) Statement 1 is true but Statement 2 is false
(d) Statement 2 is true but Statement 1 is false

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