Straight Line Question 129
Question: If A and B are two points on the line $ 3x+4y+15=0 $ such that $ OA=OB=9 $ units, then the area of the triangle $ OAB $ is
Options:
A)18 sq. units
B) $ 18\sqrt{2}\ \text{sq. units} $
C)18/ $ \sqrt{2} $ sq. units
D)None of these
Correct Answer: B $ OA=OB=9,OD=\frac{15}{\sqrt{25}}=3 $ Therefore $ AB=2AD=2\sqrt{81-9}=2\sqrt{72}=12\sqrt{2} $ Hence $ \Delta =\frac{1}{2}(3\times 12\sqrt{2})=18\sqrt{2} $ sq. units.Show Answer
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