XAT 2013Quantitative AbilityGeometryHARD+1 / −0.25

The radius of a circle with centre O is $\sqrt{50}$ cm. A and C are two points on the circle, and B is a point inside the circle. The length of AB is 6 cm, and the length of BC is 2 cm. The angle ABC is a right angle. Find the square of the distance OB.

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XAT 2013Quantitative AbilityGeometryHARD+1 / −0.25

Select an option to reveal the answer and explanation

Practice the full paper

Attempt XAT 2013 Question Paper with real exam interface and instant grading.

The radius of a circle with centre O is 50\sqrt{50}50​cm. A and C are two points on the circle, and B is a point inside the circle. The length of AB is 6 cm, and the length of BC is 2 cm. The angle ABC is a right angle. Find the square of the distance OB.