Abhi koi question add nahi kiya. PYQ Bank se questions add karein.
PYQ Bank ›
Class 10 › Mathematics › Coordinate Geometry
CBSE2026Class Class 10 · Mathematics1 Marks · Mcq✅ Verified
In the given figure, a circle is centred at $(1, 2)$ and passes through the origin O. The diameter of the circle is
A. $4$
B. $2\sqrt{2}$
C. $\sqrt{5}$
D. $2\sqrt{5}$
✅ Answer & Solution
✅ Correct Answer: D
Step 1: From the figure the circle passes through the origin $O(0,0)$, so the radius is the distance from the centre $(1,2)$ to $(0,0)$.
Step 2: $$r=\sqrt{(1-0)^2+(2-0)^2}=\sqrt{1+4}=\sqrt{5}$$
Step 3: Diameter $=2r=2\sqrt{5}$.
Answer: (D) $2\sqrt{5}$
