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  • If the locus of the mid-point of the line segment from the point (3,2) to a point on the circle,  is a circle of radius r, then r is equal to:

If the locus of the mid-point of the line segment from the point (3,2) to a point on the circle, x^2+y^2=1 is a circle of radius r, then r is equal to:
Option: 1 \frac{1}{3}
Option: 2 \frac{1}{2}
Option: 3 \frac{1}{4}
Option: 4 1

Answers (1)

best_answer

\\ \mathrm{h}=\frac{\cos \theta+3}{2} \\ \mathrm{k}=\frac{\sin \theta+2}{2} \\ \Rightarrow\left(\mathrm{h}-\frac{3}{2}\right)^{2}+(\mathrm{k}-1)^{2}=\frac{1}{4}\\ \Rightarrow \mathrm{r}=\frac{1}{2}

Posted by

himanshu.meshram

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