SHAIK AASIF AHAMED
Last Activity: 10 Years ago
Hello student,
Equation of circle with centre (0, 3) and radius 2 is
x2 + (y – 3)2= 4.
Let locus of the variable circle is (α, β)
∵It touches x-axis.
∴ It equation (x - α)2 + (y - β)2 = β2
Circles touch externally
∴ α2+ (β − 3)2= 2 + β
α2+ (β - 3)2= β2+ 4 + 4β
α2 = 10(β - 1/2)
∴ Locus is x2 = 10(y – 1/2) which is parabola.
Thanks and Regards
Shaik Aasif
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