Straight Line Question 213

Question: What is the radius of the circle passing through the point $ (2,4) $ and having centre at the intersection of the lines $ x-y=4 $ and $ 2x+3y+7=0? $

Options:

A) 3 units

B) 5 units

C) $ 3\sqrt{3} $ Units

D) $ 5\sqrt{2} $ units

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Answer:

Correct Answer: D

Solution:

  • [d] We have $ x-y=4\And 2x+3y+7=0 $ On solving, we get $ x=1\And y=-3 $ (These are coordinates of centre of the circle)
    $ \Rightarrow radius=\sqrt{{{(2-1)}^{2}}+{{(4+3)}^{2}}}=5\sqrt{2} $