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NTA Abhyas JEE Main2020MathematicsCirclePractice

For a ∆ A B C the vertices are A 0,3 , B 0,12 and C x , 0 . If the circumcircle of Δ A B C touches the x -axis, then the area (in sq. units) of the ∆ A B C is

Options

  1. A36
  2. B27
  3. C30
  4. D24

Correct answer

B. 27

Step-by-step solution

OA × OB = OC 2 ⇒ 3 × 12 = x 2 ⇒ x = 6 Centre C ' = 6 , 15 2 ∠ AC ' B = 2 ∠ ACB = 2 θ Area of ∆ A C B = 1 2 × 9 × 6 = 27 sq. units

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