### JEE Main On 08 April 2018 Question 30

##### Question: Let the orthocentre and centroid of a triangle be A(-3, 5) and B(3, 3) respectively. If C is the circumcentre of this triangle, then the radius of the circle having line segment AC as diameter, is: [JEE Main Online 08-04-2018]

#### Options:

A) $ 3\sqrt{\frac{5}{2}} $

B) $ \frac{3\sqrt{5}}{2} $

C) $ \sqrt{10} $

D) $ 2\sqrt{10} $

## Show Answer

#### Answer:

Correct Answer: A

#### Solution:

$ AC=\frac{3}{2}AB=\frac{3}{2}\sqrt{6^{2}+2^{2}}=3\sqrt{10} $

$ \Rightarrow r=\frac{3}{2}\sqrt{10}=3\sqrt{\frac{5}{2}} $