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$The eccentricity of the locus of point (3 h + 2, k), where (h, k) lies on the circle x^{2} + y^{2} = 1, is$

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Correct option is C

Let p=3h+2 and q=k or h=p−23 and k=q Since (h,k) lies on x2+y2=1 , we have h2+k2=1 or p−232+q2=1The locus isx−232+y2=1which has eccentricity e=1−19=223

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The eccentricity of the locus of point (3h+2,k) , where (h,k) lies on the circle x2+y2=1, is

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$The eccentricity of the locus of point (3 h + 2, k), where (h, k) lies on the circle x^{2} + y^{2} = 1, is$